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Finding the Fourth Proportional to 38,417.60, 57,624.24 and 10,715.60

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Solution

The fourth proportional to 38,417.60, 57,624.24 and 10,715.60 is: 16,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,417.60 : 57,624.24 = 10,715.60 : x
  2. Step 2: Convert to fraction form
    38,417.60/57,624.24 = 10,715.60/x
  3. Step 3: Cross multiply
    38,417.60x = 57,624.24 × 10,715.60
  4. Step 4: Simplify right side
    38,417.60x = 617,478,306.14
  5. Step 5: Solve for x
    x = 617,478,306.14/38,417.60
  6. Step 6: Final answer
    x = 16,072.80

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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.