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Finding the Fourth Proportional to 15,993.46, 23,959.02 and 9,737.96

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Solution

The fourth proportional to 15,993.46, 23,959.02 and 9,737.96 is: 14,587.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,993.46 : 23,959.02 = 9,737.96 : x
  2. Step 2: Convert to fraction form
    15,993.46/23,959.02 = 9,737.96/x
  3. Step 3: Cross multiply
    15,993.46x = 23,959.02 × 9,737.96
  4. Step 4: Simplify right side
    15,993.46x = 233,311,978.40
  5. Step 5: Solve for x
    x = 233,311,978.40/15,993.46
  6. Step 6: Final answer
    x = 14,587.96

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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.