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Finding the Fourth Proportional to 16,915.60, 23,345.16 and 9,745.78

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Solution

The fourth proportional to 16,915.60, 23,345.16 and 9,745.78 is: 13,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,915.60 : 23,345.16 = 9,745.78 : x
  2. Step 2: Convert to fraction form
    16,915.60/23,345.16 = 9,745.78/x
  3. Step 3: Cross multiply
    16,915.60x = 23,345.16 × 9,745.78
  4. Step 4: Simplify right side
    16,915.60x = 227,516,793.42
  5. Step 5: Solve for x
    x = 227,516,793.42/16,915.60
  6. Step 6: Final answer
    x = 13,450.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.