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Finding the Fourth Proportional to 16,207.64, 22,366.64 and 9,134.20

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Solution

The fourth proportional to 16,207.64, 22,366.64 and 9,134.20 is: 12,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,207.64 : 22,366.64 = 9,134.20 : x
  2. Step 2: Convert to fraction form
    16,207.64/22,366.64 = 9,134.20/x
  3. Step 3: Cross multiply
    16,207.64x = 22,366.64 × 9,134.20
  4. Step 4: Simplify right side
    16,207.64x = 204,301,363.09
  5. Step 5: Solve for x
    x = 204,301,363.09/16,207.64
  6. Step 6: Final answer
    x = 12,605.25

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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.