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Finding the Fourth Proportional to 21,511.86, 29,686.41 and 12,080.46

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Solution

The fourth proportional to 21,511.86, 29,686.41 and 12,080.46 is: 16,671.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,511.86 : 29,686.41 = 12,080.46 : x
  2. Step 2: Convert to fraction form
    21,511.86/29,686.41 = 12,080.46/x
  3. Step 3: Cross multiply
    21,511.86x = 29,686.41 × 12,080.46
  4. Step 4: Simplify right side
    21,511.86x = 358,625,488.55
  5. Step 5: Solve for x
    x = 358,625,488.55/21,511.86
  6. Step 6: Final answer
    x = 16,671.06

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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.