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Finding the Fourth Proportional to 23,823.42, 35,709.92 and 8,013.40

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Solution

The fourth proportional to 23,823.42, 35,709.92 and 8,013.40 is: 12,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.42 : 35,709.92 = 8,013.40 : x
  2. Step 2: Convert to fraction form
    23,823.42/35,709.92 = 8,013.40/x
  3. Step 3: Cross multiply
    23,823.42x = 35,709.92 × 8,013.40
  4. Step 4: Simplify right side
    23,823.42x = 286,157,872.93
  5. Step 5: Solve for x
    x = 286,157,872.93/23,823.42
  6. Step 6: Final answer
    x = 12,011.62

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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.