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Finding the Fourth Proportional to 19,864.96, 29,801.28 and 7,552

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Solution

The fourth proportional to 19,864.96, 29,801.28 and 7,552 is: 11,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,864.96 : 29,801.28 = 7,552 : x
  2. Step 2: Convert to fraction form
    19,864.96/29,801.28 = 7,552/x
  3. Step 3: Cross multiply
    19,864.96x = 29,801.28 × 7,552
  4. Step 4: Simplify right side
    19,864.96x = 225,059,266.56
  5. Step 5: Solve for x
    x = 225,059,266.56/19,864.96
  6. Step 6: Final answer
    x = 11,329.46

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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.