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Finding the Fourth Proportional to 16,143.86, 22,279.10 and 9,070.14

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Solution

The fourth proportional to 16,143.86, 22,279.10 and 9,070.14 is: 12,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.86 : 22,279.10 = 9,070.14 : x
  2. Step 2: Convert to fraction form
    16,143.86/22,279.10 = 9,070.14/x
  3. Step 3: Cross multiply
    16,143.86x = 22,279.10 × 9,070.14
  4. Step 4: Simplify right side
    16,143.86x = 202,074,556.07
  5. Step 5: Solve for x
    x = 202,074,556.07/16,143.86
  6. Step 6: Final answer
    x = 12,517.12

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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.