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Finding the Fourth Proportional to 15,889.60, 23,785.80 and 9,296.20

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Solution

The fourth proportional to 15,889.60, 23,785.80 and 9,296.20 is: 13,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.60 : 23,785.80 = 9,296.20 : x
  2. Step 2: Convert to fraction form
    15,889.60/23,785.80 = 9,296.20/x
  3. Step 3: Cross multiply
    15,889.60x = 23,785.80 × 9,296.20
  4. Step 4: Simplify right side
    15,889.60x = 221,117,553.96
  5. Step 5: Solve for x
    x = 221,117,553.96/15,889.60
  6. Step 6: Final answer
    x = 13,915.87

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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.