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Finding the Fourth Proportional to 23,092.65, 34,641.72 and 8,300.34

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Solution

The fourth proportional to 23,092.65, 34,641.72 and 8,300.34 is: 12,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,092.65 : 34,641.72 = 8,300.34 : x
  2. Step 2: Convert to fraction form
    23,092.65/34,641.72 = 8,300.34/x
  3. Step 3: Cross multiply
    23,092.65x = 34,641.72 × 8,300.34
  4. Step 4: Simplify right side
    23,092.65x = 287,538,054.18
  5. Step 5: Solve for x
    x = 287,538,054.18/23,092.65
  6. Step 6: Final answer
    x = 12,451.50

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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.