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Finding the Fourth Proportional to 12,705.14, 17,532.69 and 7,040.18

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Solution

The fourth proportional to 12,705.14, 17,532.69 and 7,040.18 is: 9,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.14 : 17,532.69 = 7,040.18 : x
  2. Step 2: Convert to fraction form
    12,705.14/17,532.69 = 7,040.18/x
  3. Step 3: Cross multiply
    12,705.14x = 17,532.69 × 7,040.18
  4. Step 4: Simplify right side
    12,705.14x = 123,433,293.48
  5. Step 5: Solve for x
    x = 123,433,293.48/12,705.14
  6. Step 6: Final answer
    x = 9,715.22

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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.