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Finding the Fourth Proportional to 24,456.56, 36,671.05 and 7,812.68

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Solution

The fourth proportional to 24,456.56, 36,671.05 and 7,812.68 is: 11,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,456.56 : 36,671.05 = 7,812.68 : x
  2. Step 2: Convert to fraction form
    24,456.56/36,671.05 = 7,812.68/x
  3. Step 3: Cross multiply
    24,456.56x = 36,671.05 × 7,812.68
  4. Step 4: Simplify right side
    24,456.56x = 286,499,178.91
  5. Step 5: Solve for x
    x = 286,499,178.91/24,456.56
  6. Step 6: Final answer
    x = 11,714.61

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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.