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Finding the Fourth Proportional to 12,434.92, 18,664.62 and 10,368.16

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Solution

The fourth proportional to 12,434.92, 18,664.62 and 10,368.16 is: 15,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.92 : 18,664.62 = 10,368.16 : x
  2. Step 2: Convert to fraction form
    12,434.92/18,664.62 = 10,368.16/x
  3. Step 3: Cross multiply
    12,434.92x = 18,664.62 × 10,368.16
  4. Step 4: Simplify right side
    12,434.92x = 193,517,766.50
  5. Step 5: Solve for x
    x = 193,517,766.50/12,434.92
  6. Step 6: Final answer
    x = 15,562.45

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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.