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Finding the Fourth Proportional to 12,532.55, 17,294.93 and 7,227.32

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Solution

The fourth proportional to 12,532.55, 17,294.93 and 7,227.32 is: 9,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.55 : 17,294.93 = 7,227.32 : x
  2. Step 2: Convert to fraction form
    12,532.55/17,294.93 = 7,227.32/x
  3. Step 3: Cross multiply
    12,532.55x = 17,294.93 × 7,227.32
  4. Step 4: Simplify right side
    12,532.55x = 124,995,870.88
  5. Step 5: Solve for x
    x = 124,995,870.88/12,532.55
  6. Step 6: Final answer
    x = 9,973.70

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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.