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Finding the Fourth Proportional to 19,632.38, 29,458.01 and 9,772.52

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Solution

The fourth proportional to 19,632.38, 29,458.01 and 9,772.52 is: 14,663.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,632.38 : 29,458.01 = 9,772.52 : x
  2. Step 2: Convert to fraction form
    19,632.38/29,458.01 = 9,772.52/x
  3. Step 3: Cross multiply
    19,632.38x = 29,458.01 × 9,772.52
  4. Step 4: Simplify right side
    19,632.38x = 287,878,869.03
  5. Step 5: Solve for x
    x = 287,878,869.03/19,632.38
  6. Step 6: Final answer
    x = 14,663.48

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