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Finding the Fourth Proportional to 17,768.10, 24,519.56 and 9,701.44

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Solution

The fourth proportional to 17,768.10, 24,519.56 and 9,701.44 is: 13,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768.10 : 24,519.56 = 9,701.44 : x
  2. Step 2: Convert to fraction form
    17,768.10/24,519.56 = 9,701.44/x
  3. Step 3: Cross multiply
    17,768.10x = 24,519.56 × 9,701.44
  4. Step 4: Simplify right side
    17,768.10x = 237,875,040.17
  5. Step 5: Solve for x
    x = 237,875,040.17/17,768.10
  6. Step 6: Final answer
    x = 13,387.76

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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.