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Finding the Fourth Proportional to 12,532.42, 17,294.92 and 6,867.08

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Solution

The fourth proportional to 12,532.42, 17,294.92 and 6,867.08 is: 9,476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.42 : 17,294.92 = 6,867.08 : x
  2. Step 2: Convert to fraction form
    12,532.42/17,294.92 = 6,867.08/x
  3. Step 3: Cross multiply
    12,532.42x = 17,294.92 × 6,867.08
  4. Step 4: Simplify right side
    12,532.42x = 118,765,560.45
  5. Step 5: Solve for x
    x = 118,765,560.45/12,532.42
  6. Step 6: Final answer
    x = 9,476.67

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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.