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Finding the Fourth Proportional to 12,494.34, 17,224.32 and 7,711.08

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Solution

The fourth proportional to 12,494.34, 17,224.32 and 7,711.08 is: 10,630.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.34 : 17,224.32 = 7,711.08 : x
  2. Step 2: Convert to fraction form
    12,494.34/17,224.32 = 7,711.08/x
  3. Step 3: Cross multiply
    12,494.34x = 17,224.32 × 7,711.08
  4. Step 4: Simplify right side
    12,494.34x = 132,818,109.47
  5. Step 5: Solve for x
    x = 132,818,109.47/12,494.34
  6. Step 6: Final answer
    x = 10,630.26

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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.