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Finding the Fourth Proportional to 16,284.39, 22,472.06 and 9,114.40

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Solution

The fourth proportional to 16,284.39, 22,472.06 and 9,114.40 is: 12,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.39 : 22,472.06 = 9,114.40 : x
  2. Step 2: Convert to fraction form
    16,284.39/22,472.06 = 9,114.40/x
  3. Step 3: Cross multiply
    16,284.39x = 22,472.06 × 9,114.40
  4. Step 4: Simplify right side
    16,284.39x = 204,819,343.66
  5. Step 5: Solve for x
    x = 204,819,343.66/16,284.39
  6. Step 6: Final answer
    x = 12,577.65

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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.