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Finding the Fourth Proportional to 20,381.16, 30,568.59 and 8,374.53

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Solution

The fourth proportional to 20,381.16, 30,568.59 and 8,374.53 is: 12,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,381.16 : 30,568.59 = 8,374.53 : x
  2. Step 2: Convert to fraction form
    20,381.16/30,568.59 = 8,374.53/x
  3. Step 3: Cross multiply
    20,381.16x = 30,568.59 × 8,374.53
  4. Step 4: Simplify right side
    20,381.16x = 255,997,574.01
  5. Step 5: Solve for x
    x = 255,997,574.01/20,381.16
  6. Step 6: Final answer
    x = 12,560.50

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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.