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Finding the Fourth Proportional to 26,762.20, 40,167.96 and 13,624

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Solution

The fourth proportional to 26,762.20, 40,167.96 and 13,624 is: 20,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,762.20 : 40,167.96 = 13,624 : x
  2. Step 2: Convert to fraction form
    26,762.20/40,167.96 = 13,624/x
  3. Step 3: Cross multiply
    26,762.20x = 40,167.96 × 13,624
  4. Step 4: Simplify right side
    26,762.20x = 547,248,287.04
  5. Step 5: Solve for x
    x = 547,248,287.04/26,762.20
  6. Step 6: Final answer
    x = 20,448.55

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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.