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Finding the Fourth Proportional to 16,126.14, 22,255.41 and 9,412.20

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Solution

The fourth proportional to 16,126.14, 22,255.41 and 9,412.20 is: 12,989.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,126.14 : 22,255.41 = 9,412.20 : x
  2. Step 2: Convert to fraction form
    16,126.14/22,255.41 = 9,412.20/x
  3. Step 3: Cross multiply
    16,126.14x = 22,255.41 × 9,412.20
  4. Step 4: Simplify right side
    16,126.14x = 209,472,370.00
  5. Step 5: Solve for x
    x = 209,472,370.00/16,126.14
  6. Step 6: Final answer
    x = 12,989.62

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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.