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Finding the Fourth Proportional to 16,191.74, 22,345.76 and 9,022.25

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Solution

The fourth proportional to 16,191.74, 22,345.76 and 9,022.25 is: 12,451.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,191.74 : 22,345.76 = 9,022.25 : x
  2. Step 2: Convert to fraction form
    16,191.74/22,345.76 = 9,022.25/x
  3. Step 3: Cross multiply
    16,191.74x = 22,345.76 × 9,022.25
  4. Step 4: Simplify right side
    16,191.74x = 201,609,033.16
  5. Step 5: Solve for x
    x = 201,609,033.16/16,191.74
  6. Step 6: Final answer
    x = 12,451.35

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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.