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Finding the Fourth Proportional to 25,545.66, 38,318.51 and 7,077.66

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Solution

The fourth proportional to 25,545.66, 38,318.51 and 7,077.66 is: 10,616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,545.66 : 38,318.51 = 7,077.66 : x
  2. Step 2: Convert to fraction form
    25,545.66/38,318.51 = 7,077.66/x
  3. Step 3: Cross multiply
    25,545.66x = 38,318.51 × 7,077.66
  4. Step 4: Simplify right side
    25,545.66x = 271,205,385.49
  5. Step 5: Solve for x
    x = 271,205,385.49/25,545.66
  6. Step 6: Final answer
    x = 10,616.50

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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.