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Finding the Fourth Proportional to 20,714.94, 31,072.72 and 5,132.56

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Solution

The fourth proportional to 20,714.94, 31,072.72 and 5,132.56 is: 7,698.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.94 : 31,072.72 = 5,132.56 : x
  2. Step 2: Convert to fraction form
    20,714.94/31,072.72 = 5,132.56/x
  3. Step 3: Cross multiply
    20,714.94x = 31,072.72 × 5,132.56
  4. Step 4: Simplify right side
    20,714.94x = 159,482,599.76
  5. Step 5: Solve for x
    x = 159,482,599.76/20,714.94
  6. Step 6: Final answer
    x = 7,698.92

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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.