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Finding the Fourth Proportional to 23,257.92, 34,901.68 and 8,465.40

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Solution

The fourth proportional to 23,257.92, 34,901.68 and 8,465.40 is: 12,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,257.92 : 34,901.68 = 8,465.40 : x
  2. Step 2: Convert to fraction form
    23,257.92/34,901.68 = 8,465.40/x
  3. Step 3: Cross multiply
    23,257.92x = 34,901.68 × 8,465.40
  4. Step 4: Simplify right side
    23,257.92x = 295,456,681.87
  5. Step 5: Solve for x
    x = 295,456,681.87/23,257.92
  6. Step 6: Final answer
    x = 12,703.49

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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.