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Finding the Fourth Proportional to 17,761, 24,510.18 and 10,309

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Solution

The fourth proportional to 17,761, 24,510.18 and 10,309 is: 14,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761 : 24,510.18 = 10,309 : x
  2. Step 2: Convert to fraction form
    17,761/24,510.18 = 10,309/x
  3. Step 3: Cross multiply
    17,761x = 24,510.18 × 10,309
  4. Step 4: Simplify right side
    17,761x = 252,675,445.62
  5. Step 5: Solve for x
    x = 252,675,445.62/17,761
  6. Step 6: Final answer
    x = 14,226.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.