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Finding the Fourth Proportional to 17,807.71, 24,594.81 and 12,132.61

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Solution

The fourth proportional to 17,807.71, 24,594.81 and 12,132.61 is: 16,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,807.71 : 24,594.81 = 12,132.61 : x
  2. Step 2: Convert to fraction form
    17,807.71/24,594.81 = 12,132.61/x
  3. Step 3: Cross multiply
    17,807.71x = 24,594.81 × 12,132.61
  4. Step 4: Simplify right side
    17,807.71x = 298,399,237.75
  5. Step 5: Solve for x
    x = 298,399,237.75/17,807.71
  6. Step 6: Final answer
    x = 16,756.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.