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Finding the Fourth Proportional to 28,013.34, 38,658.42 and 15,438

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Solution

The fourth proportional to 28,013.34, 38,658.42 and 15,438 is: 21,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,013.34 : 38,658.42 = 15,438 : x
  2. Step 2: Convert to fraction form
    28,013.34/38,658.42 = 15,438/x
  3. Step 3: Cross multiply
    28,013.34x = 38,658.42 × 15,438
  4. Step 4: Simplify right side
    28,013.34x = 596,808,687.96
  5. Step 5: Solve for x
    x = 596,808,687.96/28,013.34
  6. Step 6: Final answer
    x = 21,304.45

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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.