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Finding the Fourth Proportional to 16,454.26, 22,707.40 and 9,002.26

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Solution

The fourth proportional to 16,454.26, 22,707.40 and 9,002.26 is: 12,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,454.26 : 22,707.40 = 9,002.26 : x
  2. Step 2: Convert to fraction form
    16,454.26/22,707.40 = 9,002.26/x
  3. Step 3: Cross multiply
    16,454.26x = 22,707.40 × 9,002.26
  4. Step 4: Simplify right side
    16,454.26x = 204,417,918.72
  5. Step 5: Solve for x
    x = 204,417,918.72/16,454.26
  6. Step 6: Final answer
    x = 12,423.40

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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.