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Finding the Fourth Proportional to 17,642.44, 24,346.74 and 9,576.17

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Solution

The fourth proportional to 17,642.44, 24,346.74 and 9,576.17 is: 13,215.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.44 : 24,346.74 = 9,576.17 : x
  2. Step 2: Convert to fraction form
    17,642.44/24,346.74 = 9,576.17/x
  3. Step 3: Cross multiply
    17,642.44x = 24,346.74 × 9,576.17
  4. Step 4: Simplify right side
    17,642.44x = 233,148,521.19
  5. Step 5: Solve for x
    x = 233,148,521.19/17,642.44
  6. Step 6: Final answer
    x = 13,215.21

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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.