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Finding the Fourth Proportional to 16,142.15, 22,278.25 and 9,068.57

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Solution

The fourth proportional to 16,142.15, 22,278.25 and 9,068.57 is: 12,515.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.15 : 22,278.25 = 9,068.57 : x
  2. Step 2: Convert to fraction form
    16,142.15/22,278.25 = 9,068.57/x
  3. Step 3: Cross multiply
    16,142.15x = 22,278.25 × 9,068.57
  4. Step 4: Simplify right side
    16,142.15x = 202,031,869.60
  5. Step 5: Solve for x
    x = 202,031,869.60/16,142.15
  6. Step 6: Final answer
    x = 12,515.80

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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.