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Finding the Fourth Proportional to 12,427.26, 18,569.86 and 9,449.34

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Solution

The fourth proportional to 12,427.26, 18,569.86 and 9,449.34 is: 14,120.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,427.26 : 18,569.86 = 9,449.34 : x
  2. Step 2: Convert to fraction form
    12,427.26/18,569.86 = 9,449.34/x
  3. Step 3: Cross multiply
    12,427.26x = 18,569.86 × 9,449.34
  4. Step 4: Simplify right side
    12,427.26x = 175,472,920.89
  5. Step 5: Solve for x
    x = 175,472,920.89/12,427.26
  6. Step 6: Final answer
    x = 14,120.00

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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.