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Finding the Fourth Proportional to 25,516.08, 38,259 and 9,915.48

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Solution

The fourth proportional to 25,516.08, 38,259 and 9,915.48 is: 14,867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,516.08 : 38,259 = 9,915.48 : x
  2. Step 2: Convert to fraction form
    25,516.08/38,259 = 9,915.48/x
  3. Step 3: Cross multiply
    25,516.08x = 38,259 × 9,915.48
  4. Step 4: Simplify right side
    25,516.08x = 379,356,349.32
  5. Step 5: Solve for x
    x = 379,356,349.32/25,516.08
  6. Step 6: Final answer
    x = 14,867.34

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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.