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Finding the Fourth Proportional to 16,116.32, 22,242.12 and 10,822.16

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Solution

The fourth proportional to 16,116.32, 22,242.12 and 10,822.16 is: 14,935.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.32 : 22,242.12 = 10,822.16 : x
  2. Step 2: Convert to fraction form
    16,116.32/22,242.12 = 10,822.16/x
  3. Step 3: Cross multiply
    16,116.32x = 22,242.12 × 10,822.16
  4. Step 4: Simplify right side
    16,116.32x = 240,707,781.38
  5. Step 5: Solve for x
    x = 240,707,781.38/16,116.32
  6. Step 6: Final answer
    x = 14,935.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.