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Finding the Fourth Proportional to 17,701.12, 24,427.38 and 9,743.14

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Solution

The fourth proportional to 17,701.12, 24,427.38 and 9,743.14 is: 13,445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.12 : 24,427.38 = 9,743.14 : x
  2. Step 2: Convert to fraction form
    17,701.12/24,427.38 = 9,743.14/x
  3. Step 3: Cross multiply
    17,701.12x = 24,427.38 × 9,743.14
  4. Step 4: Simplify right side
    17,701.12x = 237,999,383.17
  5. Step 5: Solve for x
    x = 237,999,383.17/17,701.12
  6. Step 6: Final answer
    x = 13,445.44

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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.