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Finding the Fourth Proportional to 23,099.84, 31,877.76 and 12,489.48

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Solution

The fourth proportional to 23,099.84, 31,877.76 and 12,489.48 is: 17,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,099.84 : 31,877.76 = 12,489.48 : x
  2. Step 2: Convert to fraction form
    23,099.84/31,877.76 = 12,489.48/x
  3. Step 3: Cross multiply
    23,099.84x = 31,877.76 × 12,489.48
  4. Step 4: Simplify right side
    23,099.84x = 398,136,645.96
  5. Step 5: Solve for x
    x = 398,136,645.96/23,099.84
  6. Step 6: Final answer
    x = 17,235.47

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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.