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Finding the Fourth Proportional to 24,714.52, 37,087.02 and 9,719

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Solution

The fourth proportional to 24,714.52, 37,087.02 and 9,719 is: 14,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,714.52 : 37,087.02 = 9,719 : x
  2. Step 2: Convert to fraction form
    24,714.52/37,087.02 = 9,719/x
  3. Step 3: Cross multiply
    24,714.52x = 37,087.02 × 9,719
  4. Step 4: Simplify right side
    24,714.52x = 360,448,747.38
  5. Step 5: Solve for x
    x = 360,448,747.38/24,714.52
  6. Step 6: Final answer
    x = 14,584.49

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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.