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Finding the Fourth Proportional to 16,242.65, 24,356.50 and 6,748.15

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Solution

The fourth proportional to 16,242.65, 24,356.50 and 6,748.15 is: 10,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.65 : 24,356.50 = 6,748.15 : x
  2. Step 2: Convert to fraction form
    16,242.65/24,356.50 = 6,748.15/x
  3. Step 3: Cross multiply
    16,242.65x = 24,356.50 × 6,748.15
  4. Step 4: Simplify right side
    16,242.65x = 164,361,249.13
  5. Step 5: Solve for x
    x = 164,361,249.13/16,242.65
  6. Step 6: Final answer
    x = 10,119.11

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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.