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Finding the Fourth Proportional to 19,754.74, 29,632.10 and 7,913.88

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Solution

The fourth proportional to 19,754.74, 29,632.10 and 7,913.88 is: 11,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,754.74 : 29,632.10 = 7,913.88 : x
  2. Step 2: Convert to fraction form
    19,754.74/29,632.10 = 7,913.88/x
  3. Step 3: Cross multiply
    19,754.74x = 29,632.10 × 7,913.88
  4. Step 4: Simplify right side
    19,754.74x = 234,504,883.55
  5. Step 5: Solve for x
    x = 234,504,883.55/19,754.74
  6. Step 6: Final answer
    x = 11,870.82

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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.