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Finding the Fourth Proportional to 12,642.53, 17,443.10 and 7,604.23

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Solution

The fourth proportional to 12,642.53, 17,443.10 and 7,604.23 is: 10,491.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.53 : 17,443.10 = 7,604.23 : x
  2. Step 2: Convert to fraction form
    12,642.53/17,443.10 = 7,604.23/x
  3. Step 3: Cross multiply
    12,642.53x = 17,443.10 × 7,604.23
  4. Step 4: Simplify right side
    12,642.53x = 132,641,306.29
  5. Step 5: Solve for x
    x = 132,641,306.29/12,642.53
  6. Step 6: Final answer
    x = 10,491.67

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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.