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Finding the Fourth Proportional to 13,714.80, 20,574.36 and 4,951.86

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Solution

The fourth proportional to 13,714.80, 20,574.36 and 4,951.86 is: 7,428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.80 : 20,574.36 = 4,951.86 : x
  2. Step 2: Convert to fraction form
    13,714.80/20,574.36 = 4,951.86/x
  3. Step 3: Cross multiply
    13,714.80x = 20,574.36 × 4,951.86
  4. Step 4: Simplify right side
    13,714.80x = 101,881,350.31
  5. Step 5: Solve for x
    x = 101,881,350.31/13,714.80
  6. Step 6: Final answer
    x = 7,428.57

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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.