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Finding the Fourth Proportional to 12,706.14, 17,534.07 and 7,041.18

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Solution

The fourth proportional to 12,706.14, 17,534.07 and 7,041.18 is: 9,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.14 : 17,534.07 = 7,041.18 : x
  2. Step 2: Convert to fraction form
    12,706.14/17,534.07 = 7,041.18/x
  3. Step 3: Cross multiply
    12,706.14x = 17,534.07 × 7,041.18
  4. Step 4: Simplify right side
    12,706.14x = 123,460,543.00
  5. Step 5: Solve for x
    x = 123,460,543.00/12,706.14
  6. Step 6: Final answer
    x = 9,716.60

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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.