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Finding the Fourth Proportional to 38,396.84, 57,600.10 and 15,020.24

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Solution

The fourth proportional to 38,396.84, 57,600.10 and 15,020.24 is: 22,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,396.84 : 57,600.10 = 15,020.24 : x
  2. Step 2: Convert to fraction form
    38,396.84/57,600.10 = 15,020.24/x
  3. Step 3: Cross multiply
    38,396.84x = 57,600.10 × 15,020.24
  4. Step 4: Simplify right side
    38,396.84x = 865,167,326.02
  5. Step 5: Solve for x
    x = 865,167,326.02/38,396.84
  6. Step 6: Final answer
    x = 22,532.25

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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.