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Finding the Fourth Proportional to 15,856.64, 23,793.18 and 8,065.46

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Solution

The fourth proportional to 15,856.64, 23,793.18 and 8,065.46 is: 12,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.64 : 23,793.18 = 8,065.46 : x
  2. Step 2: Convert to fraction form
    15,856.64/23,793.18 = 8,065.46/x
  3. Step 3: Cross multiply
    15,856.64x = 23,793.18 × 8,065.46
  4. Step 4: Simplify right side
    15,856.64x = 191,902,941.56
  5. Step 5: Solve for x
    x = 191,902,941.56/15,856.64
  6. Step 6: Final answer
    x = 12,102.37

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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.