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Finding the Fourth Proportional to 26,188.57, 39,259.62 and 9,545.50

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Solution

The fourth proportional to 26,188.57, 39,259.62 and 9,545.50 is: 14,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,188.57 : 39,259.62 = 9,545.50 : x
  2. Step 2: Convert to fraction form
    26,188.57/39,259.62 = 9,545.50/x
  3. Step 3: Cross multiply
    26,188.57x = 39,259.62 × 9,545.50
  4. Step 4: Simplify right side
    26,188.57x = 374,752,702.71
  5. Step 5: Solve for x
    x = 374,752,702.71/26,188.57
  6. Step 6: Final answer
    x = 14,309.78

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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.