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Finding the Fourth Proportional to 12,478.60, 18,711.65 and 4,155.71

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Solution

The fourth proportional to 12,478.60, 18,711.65 and 4,155.71 is: 6,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,478.60 : 18,711.65 = 4,155.71 : x
  2. Step 2: Convert to fraction form
    12,478.60/18,711.65 = 4,155.71/x
  3. Step 3: Cross multiply
    12,478.60x = 18,711.65 × 4,155.71
  4. Step 4: Simplify right side
    12,478.60x = 77,760,248.19
  5. Step 5: Solve for x
    x = 77,760,248.19/12,478.60
  6. Step 6: Final answer
    x = 6,231.49

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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.