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Finding the Fourth Proportional to 16,371.84, 22,591.20 and 9,659.52

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Solution

The fourth proportional to 16,371.84, 22,591.20 and 9,659.52 is: 13,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,371.84 : 22,591.20 = 9,659.52 : x
  2. Step 2: Convert to fraction form
    16,371.84/22,591.20 = 9,659.52/x
  3. Step 3: Cross multiply
    16,371.84x = 22,591.20 × 9,659.52
  4. Step 4: Simplify right side
    16,371.84x = 218,220,148.22
  5. Step 5: Solve for x
    x = 218,220,148.22/16,371.84
  6. Step 6: Final answer
    x = 13,328.99

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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.