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Finding the Fourth Proportional to 20,381.88, 30,529.56 and 9,836.40

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Solution

The fourth proportional to 20,381.88, 30,529.56 and 9,836.40 is: 14,733.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,381.88 : 30,529.56 = 9,836.40 : x
  2. Step 2: Convert to fraction form
    20,381.88/30,529.56 = 9,836.40/x
  3. Step 3: Cross multiply
    20,381.88x = 30,529.56 × 9,836.40
  4. Step 4: Simplify right side
    20,381.88x = 300,300,963.98
  5. Step 5: Solve for x
    x = 300,300,963.98/20,381.88
  6. Step 6: Final answer
    x = 14,733.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.