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Finding the Fourth Proportional to 15,371.60, 23,078.14 and 9,835.76

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Solution

The fourth proportional to 15,371.60, 23,078.14 and 9,835.76 is: 14,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,371.60 : 23,078.14 = 9,835.76 : x
  2. Step 2: Convert to fraction form
    15,371.60/23,078.14 = 9,835.76/x
  3. Step 3: Cross multiply
    15,371.60x = 23,078.14 × 9,835.76
  4. Step 4: Simplify right side
    15,371.60x = 226,991,046.29
  5. Step 5: Solve for x
    x = 226,991,046.29/15,371.60
  6. Step 6: Final answer
    x = 14,766.91

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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.