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Finding the Fourth Proportional to 15,960.12, 23,924.34 and 8,151.48

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Solution

The fourth proportional to 15,960.12, 23,924.34 and 8,151.48 is: 12,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,960.12 : 23,924.34 = 8,151.48 : x
  2. Step 2: Convert to fraction form
    15,960.12/23,924.34 = 8,151.48/x
  3. Step 3: Cross multiply
    15,960.12x = 23,924.34 × 8,151.48
  4. Step 4: Simplify right side
    15,960.12x = 195,018,779.02
  5. Step 5: Solve for x
    x = 195,018,779.02/15,960.12
  6. Step 6: Final answer
    x = 12,219.13

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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.