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Finding the Fourth Proportional to 15,557.25, 23,344.08 and 6,781.92

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Solution

The fourth proportional to 15,557.25, 23,344.08 and 6,781.92 is: 10,176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,557.25 : 23,344.08 = 6,781.92 : x
  2. Step 2: Convert to fraction form
    15,557.25/23,344.08 = 6,781.92/x
  3. Step 3: Cross multiply
    15,557.25x = 23,344.08 × 6,781.92
  4. Step 4: Simplify right side
    15,557.25x = 158,317,683.03
  5. Step 5: Solve for x
    x = 158,317,683.03/15,557.25
  6. Step 6: Final answer
    x = 10,176.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.