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Finding the Fourth Proportional to 24,714.28, 37,073.46 and 7,184.08

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Solution

The fourth proportional to 24,714.28, 37,073.46 and 7,184.08 is: 10,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.28 : 37,073.46 = 7,184.08 : x
  2. Step 2: Convert to fraction form
    24,714.28/37,073.46 = 7,184.08/x
  3. Step 3: Cross multiply
    24,714.28x = 37,073.46 × 7,184.08
  4. Step 4: Simplify right side
    24,714.28x = 266,338,702.52
  5. Step 5: Solve for x
    x = 266,338,702.52/24,714.28
  6. Step 6: Final answer
    x = 10,776.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.