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Finding the Fourth Proportional to 16,142.80, 22,278.36 and 9,070.96

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Solution

The fourth proportional to 16,142.80, 22,278.36 and 9,070.96 is: 12,518.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.80 : 22,278.36 = 9,070.96 : x
  2. Step 2: Convert to fraction form
    16,142.80/22,278.36 = 9,070.96/x
  3. Step 3: Cross multiply
    16,142.80x = 22,278.36 × 9,070.96
  4. Step 4: Simplify right side
    16,142.80x = 202,086,112.43
  5. Step 5: Solve for x
    x = 202,086,112.43/16,142.80
  6. Step 6: Final answer
    x = 12,518.65

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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.