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Finding the Fourth Proportional to 12,705.85, 17,532.32 and 7,039.20

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Solution

The fourth proportional to 12,705.85, 17,532.32 and 7,039.20 is: 9,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.85 : 17,532.32 = 7,039.20 : x
  2. Step 2: Convert to fraction form
    12,705.85/17,532.32 = 7,039.20/x
  3. Step 3: Cross multiply
    12,705.85x = 17,532.32 × 7,039.20
  4. Step 4: Simplify right side
    12,705.85x = 123,413,506.94
  5. Step 5: Solve for x
    x = 123,413,506.94/12,705.85
  6. Step 6: Final answer
    x = 9,713.12

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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.