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Finding the Fourth Proportional to 23,312.92, 34,974.53 and 8,521.81

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Solution

The fourth proportional to 23,312.92, 34,974.53 and 8,521.81 is: 12,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312.92 : 34,974.53 = 8,521.81 : x
  2. Step 2: Convert to fraction form
    23,312.92/34,974.53 = 8,521.81/x
  3. Step 3: Cross multiply
    23,312.92x = 34,974.53 × 8,521.81
  4. Step 4: Simplify right side
    23,312.92x = 298,046,299.50
  5. Step 5: Solve for x
    x = 298,046,299.50/23,312.92
  6. Step 6: Final answer
    x = 12,784.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.