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Finding the Fourth Proportional to 17,701.49, 24,427.62 and 9,743.64

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Solution

The fourth proportional to 17,701.49, 24,427.62 and 9,743.64 is: 13,445.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,701.49 : 24,427.62 = 9,743.64 : x
  2. Step 2: Convert to fraction form
    17,701.49/24,427.62 = 9,743.64/x
  3. Step 3: Cross multiply
    17,701.49x = 24,427.62 × 9,743.64
  4. Step 4: Simplify right side
    17,701.49x = 238,013,935.34
  5. Step 5: Solve for x
    x = 238,013,935.34/17,701.49
  6. Step 6: Final answer
    x = 13,445.99

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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.