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Finding the Fourth Proportional to 15,856.60, 23,785.10 and 7,537.48

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Solution

The fourth proportional to 15,856.60, 23,785.10 and 7,537.48 is: 11,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.60 : 23,785.10 = 7,537.48 : x
  2. Step 2: Convert to fraction form
    15,856.60/23,785.10 = 7,537.48/x
  3. Step 3: Cross multiply
    15,856.60x = 23,785.10 × 7,537.48
  4. Step 4: Simplify right side
    15,856.60x = 179,279,715.55
  5. Step 5: Solve for x
    x = 179,279,715.55/15,856.60
  6. Step 6: Final answer
    x = 11,306.32

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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.