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Finding the Fourth Proportional to 16,214.40, 22,377.76 and 9,142.08

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Solution

The fourth proportional to 16,214.40, 22,377.76 and 9,142.08 is: 12,617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.40 : 22,377.76 = 9,142.08 : x
  2. Step 2: Convert to fraction form
    16,214.40/22,377.76 = 9,142.08/x
  3. Step 3: Cross multiply
    16,214.40x = 22,377.76 × 9,142.08
  4. Step 4: Simplify right side
    16,214.40x = 204,579,272.14
  5. Step 5: Solve for x
    x = 204,579,272.14/16,214.40
  6. Step 6: Final answer
    x = 12,617.13

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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.