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Finding the Fourth Proportional to 17,761.12, 24,511.16 and 10,209.90

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Solution

The fourth proportional to 17,761.12, 24,511.16 and 10,209.90 is: 14,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.12 : 24,511.16 = 10,209.90 : x
  2. Step 2: Convert to fraction form
    17,761.12/24,511.16 = 10,209.90/x
  3. Step 3: Cross multiply
    17,761.12x = 24,511.16 × 10,209.90
  4. Step 4: Simplify right side
    17,761.12x = 250,256,492.48
  5. Step 5: Solve for x
    x = 250,256,492.48/17,761.12
  6. Step 6: Final answer
    x = 14,090.13

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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.