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Finding the Fourth Proportional to 23,264.92, 34,899.54 and 8,475.40

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Solution

The fourth proportional to 23,264.92, 34,899.54 and 8,475.40 is: 12,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264.92 : 34,899.54 = 8,475.40 : x
  2. Step 2: Convert to fraction form
    23,264.92/34,899.54 = 8,475.40/x
  3. Step 3: Cross multiply
    23,264.92x = 34,899.54 × 8,475.40
  4. Step 4: Simplify right side
    23,264.92x = 295,787,561.32
  5. Step 5: Solve for x
    x = 295,787,561.32/23,264.92
  6. Step 6: Final answer
    x = 12,713.89

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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.