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Finding the Fourth Proportional to 16,642.62, 22,967 and 9,089.18

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Solution

The fourth proportional to 16,642.62, 22,967 and 9,089.18 is: 12,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.62 : 22,967 = 9,089.18 : x
  2. Step 2: Convert to fraction form
    16,642.62/22,967 = 9,089.18/x
  3. Step 3: Cross multiply
    16,642.62x = 22,967 × 9,089.18
  4. Step 4: Simplify right side
    16,642.62x = 208,751,082.23
  5. Step 5: Solve for x
    x = 208,751,082.23/16,642.62
  6. Step 6: Final answer
    x = 12,543.16

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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.