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Finding the Fourth Proportional to 13,432, 20,145.84 and 9,524.56

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Solution

The fourth proportional to 13,432, 20,145.84 and 9,524.56 is: 14,285.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432 : 20,145.84 = 9,524.56 : x
  2. Step 2: Convert to fraction form
    13,432/20,145.84 = 9,524.56/x
  3. Step 3: Cross multiply
    13,432x = 20,145.84 × 9,524.56
  4. Step 4: Simplify right side
    13,432x = 191,880,261.83
  5. Step 5: Solve for x
    x = 191,880,261.83/13,432
  6. Step 6: Final answer
    x = 14,285.31

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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.