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Finding the Fourth Proportional to 16,162.98, 22,304.67 and 9,089.42

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Solution

The fourth proportional to 16,162.98, 22,304.67 and 9,089.42 is: 12,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,162.98 : 22,304.67 = 9,089.42 : x
  2. Step 2: Convert to fraction form
    16,162.98/22,304.67 = 9,089.42/x
  3. Step 3: Cross multiply
    16,162.98x = 22,304.67 × 9,089.42
  4. Step 4: Simplify right side
    16,162.98x = 202,736,402.07
  5. Step 5: Solve for x
    x = 202,736,402.07/16,162.98
  6. Step 6: Final answer
    x = 12,543.26

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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.