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Finding the Fourth Proportional to 15,972.54, 23,950.86 and 9,311.29

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Solution

The fourth proportional to 15,972.54, 23,950.86 and 9,311.29 is: 13,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,972.54 : 23,950.86 = 9,311.29 : x
  2. Step 2: Convert to fraction form
    15,972.54/23,950.86 = 9,311.29/x
  3. Step 3: Cross multiply
    15,972.54x = 23,950.86 × 9,311.29
  4. Step 4: Simplify right side
    15,972.54x = 223,013,403.21
  5. Step 5: Solve for x
    x = 223,013,403.21/15,972.54
  6. Step 6: Final answer
    x = 13,962.30

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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.