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Finding the Fourth Proportional to 25,544.80, 38,314.92 and 8,902

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Solution

The fourth proportional to 25,544.80, 38,314.92 and 8,902 is: 13,352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,544.80 : 38,314.92 = 8,902 : x
  2. Step 2: Convert to fraction form
    25,544.80/38,314.92 = 8,902/x
  3. Step 3: Cross multiply
    25,544.80x = 38,314.92 × 8,902
  4. Step 4: Simplify right side
    25,544.80x = 341,079,417.84
  5. Step 5: Solve for x
    x = 341,079,417.84/25,544.80
  6. Step 6: Final answer
    x = 13,352.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.