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Finding the Fourth Proportional to 15,325.96, 22,895.77 and 9,734.53

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Solution

The fourth proportional to 15,325.96, 22,895.77 and 9,734.53 is: 14,542.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,325.96 : 22,895.77 = 9,734.53 : x
  2. Step 2: Convert to fraction form
    15,325.96/22,895.77 = 9,734.53/x
  3. Step 3: Cross multiply
    15,325.96x = 22,895.77 × 9,734.53
  4. Step 4: Simplify right side
    15,325.96x = 222,879,584.27
  5. Step 5: Solve for x
    x = 222,879,584.27/15,325.96
  6. Step 6: Final answer
    x = 14,542.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.