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Finding the Fourth Proportional to 18,733.74, 28,097.37 and 6,421.74

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Solution

The fourth proportional to 18,733.74, 28,097.37 and 6,421.74 is: 9,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,733.74 : 28,097.37 = 6,421.74 : x
  2. Step 2: Convert to fraction form
    18,733.74/28,097.37 = 6,421.74/x
  3. Step 3: Cross multiply
    18,733.74x = 28,097.37 × 6,421.74
  4. Step 4: Simplify right side
    18,733.74x = 180,434,004.82
  5. Step 5: Solve for x
    x = 180,434,004.82/18,733.74
  6. Step 6: Final answer
    x = 9,631.50

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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.