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Finding the Fourth Proportional to 17,701.11, 24,427.34 and 9,743.16

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Solution

The fourth proportional to 17,701.11, 24,427.34 and 9,743.16 is: 13,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.11 : 24,427.34 = 9,743.16 : x
  2. Step 2: Convert to fraction form
    17,701.11/24,427.34 = 9,743.16/x
  3. Step 3: Cross multiply
    17,701.11x = 24,427.34 × 9,743.16
  4. Step 4: Simplify right side
    17,701.11x = 237,999,433.28
  5. Step 5: Solve for x
    x = 237,999,433.28/17,701.11
  6. Step 6: Final answer
    x = 13,445.45

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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.