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Finding the Fourth Proportional to 12,407.27, 17,124.47 and 7,105.61

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Solution

The fourth proportional to 12,407.27, 17,124.47 and 7,105.61 is: 9,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.27 : 17,124.47 = 7,105.61 : x
  2. Step 2: Convert to fraction form
    12,407.27/17,124.47 = 7,105.61/x
  3. Step 3: Cross multiply
    12,407.27x = 17,124.47 × 7,105.61
  4. Step 4: Simplify right side
    12,407.27x = 121,679,684.13
  5. Step 5: Solve for x
    x = 121,679,684.13/12,407.27
  6. Step 6: Final answer
    x = 9,807.13

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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.