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Finding the Fourth Proportional to 16,142.76, 22,278 and 9,069.18

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Solution

The fourth proportional to 16,142.76, 22,278 and 9,069.18 is: 12,516.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.76 : 22,278 = 9,069.18 : x
  2. Step 2: Convert to fraction form
    16,142.76/22,278 = 9,069.18/x
  3. Step 3: Cross multiply
    16,142.76x = 22,278 × 9,069.18
  4. Step 4: Simplify right side
    16,142.76x = 202,043,192.04
  5. Step 5: Solve for x
    x = 202,043,192.04/16,142.76
  6. Step 6: Final answer
    x = 12,516.03

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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.