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Finding the Fourth Proportional to 20,070.76, 27,695.78 and 12,114.28

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Solution

The fourth proportional to 20,070.76, 27,695.78 and 12,114.28 is: 16,716.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,070.76 : 27,695.78 = 12,114.28 : x
  2. Step 2: Convert to fraction form
    20,070.76/27,695.78 = 12,114.28/x
  3. Step 3: Cross multiply
    20,070.76x = 27,695.78 × 12,114.28
  4. Step 4: Simplify right side
    20,070.76x = 335,514,433.74
  5. Step 5: Solve for x
    x = 335,514,433.74/20,070.76
  6. Step 6: Final answer
    x = 16,716.58

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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.