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Finding the Fourth Proportional to 13,762.87, 20,641.19 and 6,363.29

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Solution

The fourth proportional to 13,762.87, 20,641.19 and 6,363.29 is: 9,543.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.87 : 20,641.19 = 6,363.29 : x
  2. Step 2: Convert to fraction form
    13,762.87/20,641.19 = 6,363.29/x
  3. Step 3: Cross multiply
    13,762.87x = 20,641.19 × 6,363.29
  4. Step 4: Simplify right side
    13,762.87x = 131,345,897.70
  5. Step 5: Solve for x
    x = 131,345,897.70/13,762.87
  6. Step 6: Final answer
    x = 9,543.50

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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.