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Finding the Fourth Proportional to 12,407.86, 17,108.85 and 9,044.74

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Solution

The fourth proportional to 12,407.86, 17,108.85 and 9,044.74 is: 12,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.86 : 17,108.85 = 9,044.74 : x
  2. Step 2: Convert to fraction form
    12,407.86/17,108.85 = 9,044.74/x
  3. Step 3: Cross multiply
    12,407.86x = 17,108.85 × 9,044.74
  4. Step 4: Simplify right side
    12,407.86x = 154,745,099.95
  5. Step 5: Solve for x
    x = 154,745,099.95/12,407.86
  6. Step 6: Final answer
    x = 12,471.54

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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.