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Finding the Fourth Proportional to 23,139.48, 34,702.06 and 8,346.50

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Solution

The fourth proportional to 23,139.48, 34,702.06 and 8,346.50 is: 12,517.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,139.48 : 34,702.06 = 8,346.50 : x
  2. Step 2: Convert to fraction form
    23,139.48/34,702.06 = 8,346.50/x
  3. Step 3: Cross multiply
    23,139.48x = 34,702.06 × 8,346.50
  4. Step 4: Simplify right side
    23,139.48x = 289,640,743.79
  5. Step 5: Solve for x
    x = 289,640,743.79/23,139.48
  6. Step 6: Final answer
    x = 12,517.17

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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.