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Finding the Fourth Proportional to 12,680.28, 17,497.66 and 7,301.28

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Solution

The fourth proportional to 12,680.28, 17,497.66 and 7,301.28 is: 10,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.28 : 17,497.66 = 7,301.28 : x
  2. Step 2: Convert to fraction form
    12,680.28/17,497.66 = 7,301.28/x
  3. Step 3: Cross multiply
    12,680.28x = 17,497.66 × 7,301.28
  4. Step 4: Simplify right side
    12,680.28x = 127,755,315.00
  5. Step 5: Solve for x
    x = 127,755,315.00/12,680.28
  6. Step 6: Final answer
    x = 10,075.12

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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.