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Finding the Fourth Proportional to 23,922.48, 35,883.90 and 8,340.12

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Solution

The fourth proportional to 23,922.48, 35,883.90 and 8,340.12 is: 12,510.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,922.48 : 35,883.90 = 8,340.12 : x
  2. Step 2: Convert to fraction form
    23,922.48/35,883.90 = 8,340.12/x
  3. Step 3: Cross multiply
    23,922.48x = 35,883.90 × 8,340.12
  4. Step 4: Simplify right side
    23,922.48x = 299,276,032.07
  5. Step 5: Solve for x
    x = 299,276,032.07/23,922.48
  6. Step 6: Final answer
    x = 12,510.24

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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.