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Finding the Fourth Proportional to 12,542.28, 17,302.08 and 9,728.28

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Solution

The fourth proportional to 12,542.28, 17,302.08 and 9,728.28 is: 13,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.28 : 17,302.08 = 9,728.28 : x
  2. Step 2: Convert to fraction form
    12,542.28/17,302.08 = 9,728.28/x
  3. Step 3: Cross multiply
    12,542.28x = 17,302.08 × 9,728.28
  4. Step 4: Simplify right side
    12,542.28x = 168,319,478.82
  5. Step 5: Solve for x
    x = 168,319,478.82/12,542.28
  6. Step 6: Final answer
    x = 13,420.17

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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.