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Finding the Fourth Proportional to 23,099.49, 31,877.15 and 12,489.08

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Solution

The fourth proportional to 23,099.49, 31,877.15 and 12,489.08 is: 17,234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,099.49 : 31,877.15 = 12,489.08 : x
  2. Step 2: Convert to fraction form
    23,099.49/31,877.15 = 12,489.08/x
  3. Step 3: Cross multiply
    23,099.49x = 31,877.15 × 12,489.08
  4. Step 4: Simplify right side
    23,099.49x = 398,116,054.69
  5. Step 5: Solve for x
    x = 398,116,054.69/23,099.49
  6. Step 6: Final answer
    x = 17,234.84

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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.