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Finding the Fourth Proportional to 24,671.16, 36,978.99 and 12,164.71

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Solution

The fourth proportional to 24,671.16, 36,978.99 and 12,164.71 is: 18,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,671.16 : 36,978.99 = 12,164.71 : x
  2. Step 2: Convert to fraction form
    24,671.16/36,978.99 = 12,164.71/x
  3. Step 3: Cross multiply
    24,671.16x = 36,978.99 × 12,164.71
  4. Step 4: Simplify right side
    24,671.16x = 449,838,689.44
  5. Step 5: Solve for x
    x = 449,838,689.44/24,671.16
  6. Step 6: Final answer
    x = 18,233.39

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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.