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Finding the Fourth Proportional to 12,541.98, 17,304.49 and 7,759.63

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Solution

The fourth proportional to 12,541.98, 17,304.49 and 7,759.63 is: 10,706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,541.98 : 17,304.49 = 7,759.63 : x
  2. Step 2: Convert to fraction form
    12,541.98/17,304.49 = 7,759.63/x
  3. Step 3: Cross multiply
    12,541.98x = 17,304.49 × 7,759.63
  4. Step 4: Simplify right side
    12,541.98x = 134,276,459.14
  5. Step 5: Solve for x
    x = 134,276,459.14/12,541.98
  6. Step 6: Final answer
    x = 10,706.16

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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.