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Finding the Fourth Proportional to 16,049.68, 22,152.68 and 9,766.48

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Solution

The fourth proportional to 16,049.68, 22,152.68 and 9,766.48 is: 13,480.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.68 : 22,152.68 = 9,766.48 : x
  2. Step 2: Convert to fraction form
    16,049.68/22,152.68 = 9,766.48/x
  3. Step 3: Cross multiply
    16,049.68x = 22,152.68 × 9,766.48
  4. Step 4: Simplify right side
    16,049.68x = 216,353,706.17
  5. Step 5: Solve for x
    x = 216,353,706.17/16,049.68
  6. Step 6: Final answer
    x = 13,480.25

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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.