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Finding the Fourth Proportional to 38,884.60, 58,332.06 and 12,583

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Solution

The fourth proportional to 38,884.60, 58,332.06 and 12,583 is: 18,876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,884.60 : 58,332.06 = 12,583 : x
  2. Step 2: Convert to fraction form
    38,884.60/58,332.06 = 12,583/x
  3. Step 3: Cross multiply
    38,884.60x = 58,332.06 × 12,583
  4. Step 4: Simplify right side
    38,884.60x = 733,992,310.98
  5. Step 5: Solve for x
    x = 733,992,310.98/38,884.60
  6. Step 6: Final answer
    x = 18,876.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.