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Finding the Fourth Proportional to 12,165.19, 16,787.96 and 7,449.47

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Solution

The fourth proportional to 12,165.19, 16,787.96 and 7,449.47 is: 10,280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.19 : 16,787.96 = 7,449.47 : x
  2. Step 2: Convert to fraction form
    12,165.19/16,787.96 = 7,449.47/x
  3. Step 3: Cross multiply
    12,165.19x = 16,787.96 × 7,449.47
  4. Step 4: Simplify right side
    12,165.19x = 125,061,374.08
  5. Step 5: Solve for x
    x = 125,061,374.08/12,165.19
  6. Step 6: Final answer
    x = 10,280.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.