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Finding the Fourth Proportional to 12,532.81, 17,294.37 and 6,866.65

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Solution

The fourth proportional to 12,532.81, 17,294.37 and 6,866.65 is: 9,475.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.81 : 17,294.37 = 6,866.65 : x
  2. Step 2: Convert to fraction form
    12,532.81/17,294.37 = 6,866.65/x
  3. Step 3: Cross multiply
    12,532.81x = 17,294.37 × 6,866.65
  4. Step 4: Simplify right side
    12,532.81x = 118,754,385.76
  5. Step 5: Solve for x
    x = 118,754,385.76/12,532.81
  6. Step 6: Final answer
    x = 9,475.48

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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.