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Finding the Fourth Proportional to 16,126.32, 22,253.76 and 9,412.14

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Solution

The fourth proportional to 16,126.32, 22,253.76 and 9,412.14 is: 12,988.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,126.32 : 22,253.76 = 9,412.14 : x
  2. Step 2: Convert to fraction form
    16,126.32/22,253.76 = 9,412.14/x
  3. Step 3: Cross multiply
    16,126.32x = 22,253.76 × 9,412.14
  4. Step 4: Simplify right side
    16,126.32x = 209,455,504.65
  5. Step 5: Solve for x
    x = 209,455,504.65/16,126.32
  6. Step 6: Final answer
    x = 12,988.43

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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.