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Finding the Fourth Proportional to 12,532.93, 17,294.73 and 6,866.56

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Solution

The fourth proportional to 12,532.93, 17,294.73 and 6,866.56 is: 9,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.93 : 17,294.73 = 6,866.56 : x
  2. Step 2: Convert to fraction form
    12,532.93/17,294.73 = 6,866.56/x
  3. Step 3: Cross multiply
    12,532.93x = 17,294.73 × 6,866.56
  4. Step 4: Simplify right side
    12,532.93x = 118,755,301.23
  5. Step 5: Solve for x
    x = 118,755,301.23/12,532.93
  6. Step 6: Final answer
    x = 9,475.46

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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.