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Finding the Fourth Proportional to 11,841.93, 17,719.11 and 9,742.41

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Solution

The fourth proportional to 11,841.93, 17,719.11 and 9,742.41 is: 14,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.93 : 17,719.11 = 9,742.41 : x
  2. Step 2: Convert to fraction form
    11,841.93/17,719.11 = 9,742.41/x
  3. Step 3: Cross multiply
    11,841.93x = 17,719.11 × 9,742.41
  4. Step 4: Simplify right side
    11,841.93x = 172,626,834.46
  5. Step 5: Solve for x
    x = 172,626,834.46/11,841.93
  6. Step 6: Final answer
    x = 14,577.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.