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Finding the Fourth Proportional to 12,706.26, 17,534.58 and 7,041.30

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Solution

The fourth proportional to 12,706.26, 17,534.58 and 7,041.30 is: 9,716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.26 : 17,534.58 = 7,041.30 : x
  2. Step 2: Convert to fraction form
    12,706.26/17,534.58 = 7,041.30/x
  3. Step 3: Cross multiply
    12,706.26x = 17,534.58 × 7,041.30
  4. Step 4: Simplify right side
    12,706.26x = 123,466,238.15
  5. Step 5: Solve for x
    x = 123,466,238.15/12,706.26
  6. Step 6: Final answer
    x = 9,716.96

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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.