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Finding the Fourth Proportional to 25,665.84, 38,502 and 8,129.40

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Solution

The fourth proportional to 25,665.84, 38,502 and 8,129.40 is: 12,195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,665.84 : 38,502 = 8,129.40 : x
  2. Step 2: Convert to fraction form
    25,665.84/38,502 = 8,129.40/x
  3. Step 3: Cross multiply
    25,665.84x = 38,502 × 8,129.40
  4. Step 4: Simplify right side
    25,665.84x = 312,998,158.80
  5. Step 5: Solve for x
    x = 312,998,158.80/25,665.84
  6. Step 6: Final answer
    x = 12,195.13

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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.