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Finding the Fourth Proportional to 24,642.80, 36,966.53 and 6,874.64

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Solution

The fourth proportional to 24,642.80, 36,966.53 and 6,874.64 is: 10,312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642.80 : 36,966.53 = 6,874.64 : x
  2. Step 2: Convert to fraction form
    24,642.80/36,966.53 = 6,874.64/x
  3. Step 3: Cross multiply
    24,642.80x = 36,966.53 × 6,874.64
  4. Step 4: Simplify right side
    24,642.80x = 254,131,695.40
  5. Step 5: Solve for x
    x = 254,131,695.40/24,642.80
  6. Step 6: Final answer
    x = 10,312.61

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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.