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Finding the Fourth Proportional to 12,371.60, 18,587.82 and 7,931.18

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Solution

The fourth proportional to 12,371.60, 18,587.82 and 7,931.18 is: 11,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,371.60 : 18,587.82 = 7,931.18 : x
  2. Step 2: Convert to fraction form
    12,371.60/18,587.82 = 7,931.18/x
  3. Step 3: Cross multiply
    12,371.60x = 18,587.82 × 7,931.18
  4. Step 4: Simplify right side
    12,371.60x = 147,423,346.23
  5. Step 5: Solve for x
    x = 147,423,346.23/12,371.60
  6. Step 6: Final answer
    x = 11,916.27

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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.