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Finding the Fourth Proportional to 11,900,296.85, 17,839,978.65 and 4,716,874.22

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Solution

The fourth proportional to 11,900,296.85, 17,839,978.65 and 4,716,874.22 is: 7,071,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,900,296.85 : 17,839,978.65 = 4,716,874.22 : x
  2. Step 2: Convert to fraction form
    11,900,296.85/17,839,978.65 = 4,716,874.22/x
  3. Step 3: Cross multiply
    11,900,296.85x = 17,839,978.65 × 4,716,874.22
  4. Step 4: Simplify right side
    11,900,296.85x = 84,148,935,290,335.50
  5. Step 5: Solve for x
    x = 84,148,935,290,335.50/11,900,296.85
  6. Step 6: Final answer
    x = 7,071,162.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.