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Finding the Fourth Proportional to 12,264.31, 18,294.65 and 11,854.32

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Solution

The fourth proportional to 12,264.31, 18,294.65 and 11,854.32 is: 17,683.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.31 : 18,294.65 = 11,854.32 : x
  2. Step 2: Convert to fraction form
    12,264.31/18,294.65 = 11,854.32/x
  3. Step 3: Cross multiply
    12,264.31x = 18,294.65 × 11,854.32
  4. Step 4: Simplify right side
    12,264.31x = 216,870,635.39
  5. Step 5: Solve for x
    x = 216,870,635.39/12,264.31
  6. Step 6: Final answer
    x = 17,683.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.