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Finding the Fourth Proportional to 15,754.31, 23,674.87 and 8,364.31

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Solution

The fourth proportional to 15,754.31, 23,674.87 and 8,364.31 is: 12,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,754.31 : 23,674.87 = 8,364.31 : x
  2. Step 2: Convert to fraction form
    15,754.31/23,674.87 = 8,364.31/x
  3. Step 3: Cross multiply
    15,754.31x = 23,674.87 × 8,364.31
  4. Step 4: Simplify right side
    15,754.31x = 198,023,833.52
  5. Step 5: Solve for x
    x = 198,023,833.52/15,754.31
  6. Step 6: Final answer
    x = 12,569.50

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1.5x scale

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.