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Finding the Fourth Proportional to 15,823.29, 23,737.57 and 6,468.33

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Solution

The fourth proportional to 15,823.29, 23,737.57 and 6,468.33 is: 9,703.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.29 : 23,737.57 = 6,468.33 : x
  2. Step 2: Convert to fraction form
    15,823.29/23,737.57 = 6,468.33/x
  3. Step 3: Cross multiply
    15,823.29x = 23,737.57 × 6,468.33
  4. Step 4: Simplify right side
    15,823.29x = 153,542,436.16
  5. Step 5: Solve for x
    x = 153,542,436.16/15,823.29
  6. Step 6: Final answer
    x = 9,703.57

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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.