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Finding the Fourth Proportional to 23,137.92, 34,705.40 and 7,342.65

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Solution

The fourth proportional to 23,137.92, 34,705.40 and 7,342.65 is: 11,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,137.92 : 34,705.40 = 7,342.65 : x
  2. Step 2: Convert to fraction form
    23,137.92/34,705.40 = 7,342.65/x
  3. Step 3: Cross multiply
    23,137.92x = 34,705.40 × 7,342.65
  4. Step 4: Simplify right side
    23,137.92x = 254,829,568.60
  5. Step 5: Solve for x
    x = 254,829,568.60/23,137.92
  6. Step 6: Final answer
    x = 11,013.50

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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.