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Finding the Fourth Proportional to 25,915.90, 38,877.04 and 9,277.70

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Solution

The fourth proportional to 25,915.90, 38,877.04 and 9,277.70 is: 13,917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,915.90 : 38,877.04 = 9,277.70 : x
  2. Step 2: Convert to fraction form
    25,915.90/38,877.04 = 9,277.70/x
  3. Step 3: Cross multiply
    25,915.90x = 38,877.04 × 9,277.70
  4. Step 4: Simplify right side
    25,915.90x = 360,689,514.01
  5. Step 5: Solve for x
    x = 360,689,514.01/25,915.90
  6. Step 6: Final answer
    x = 13,917.69

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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.