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Finding the Fourth Proportional to 21,381.48, 29,505.24 and 13,428

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Solution

The fourth proportional to 21,381.48, 29,505.24 and 13,428 is: 18,529.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381.48 : 29,505.24 = 13,428 : x
  2. Step 2: Convert to fraction form
    21,381.48/29,505.24 = 13,428/x
  3. Step 3: Cross multiply
    21,381.48x = 29,505.24 × 13,428
  4. Step 4: Simplify right side
    21,381.48x = 396,196,362.72
  5. Step 5: Solve for x
    x = 396,196,362.72/21,381.48
  6. Step 6: Final answer
    x = 18,529.88

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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.