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Finding the Fourth Proportional to 17,642.55, 24,346.61 and 9,576.36

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Solution

The fourth proportional to 17,642.55, 24,346.61 and 9,576.36 is: 13,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.55 : 24,346.61 = 9,576.36 : x
  2. Step 2: Convert to fraction form
    17,642.55/24,346.61 = 9,576.36/x
  3. Step 3: Cross multiply
    17,642.55x = 24,346.61 × 9,576.36
  4. Step 4: Simplify right side
    17,642.55x = 233,151,834.78
  5. Step 5: Solve for x
    x = 233,151,834.78/17,642.55
  6. Step 6: Final answer
    x = 13,215.32

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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.