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Finding the Fourth Proportional to 20,070.12, 27,702.54 and 12,111

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Solution

The fourth proportional to 20,070.12, 27,702.54 and 12,111 is: 16,716.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,070.12 : 27,702.54 = 12,111 : x
  2. Step 2: Convert to fraction form
    20,070.12/27,702.54 = 12,111/x
  3. Step 3: Cross multiply
    20,070.12x = 27,702.54 × 12,111
  4. Step 4: Simplify right side
    20,070.12x = 335,505,461.94
  5. Step 5: Solve for x
    x = 335,505,461.94/20,070.12
  6. Step 6: Final answer
    x = 16,716.66

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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.