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Finding the Fourth Proportional to 12,906.38, 19,348.08 and 4,585.29

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Solution

The fourth proportional to 12,906.38, 19,348.08 and 4,585.29 is: 6,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.38 : 19,348.08 = 4,585.29 : x
  2. Step 2: Convert to fraction form
    12,906.38/19,348.08 = 4,585.29/x
  3. Step 3: Cross multiply
    12,906.38x = 19,348.08 × 4,585.29
  4. Step 4: Simplify right side
    12,906.38x = 88,716,557.74
  5. Step 5: Solve for x
    x = 88,716,557.74/12,906.38
  6. Step 6: Final answer
    x = 6,873.86

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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.