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Finding the Fourth Proportional to 21,132.32, 29,174.40 and 14,428

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Solution

The fourth proportional to 21,132.32, 29,174.40 and 14,428 is: 19,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,132.32 : 29,174.40 = 14,428 : x
  2. Step 2: Convert to fraction form
    21,132.32/29,174.40 = 14,428/x
  3. Step 3: Cross multiply
    21,132.32x = 29,174.40 × 14,428
  4. Step 4: Simplify right side
    21,132.32x = 420,928,243.20
  5. Step 5: Solve for x
    x = 420,928,243.20/21,132.32
  6. Step 6: Final answer
    x = 19,918.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.