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Finding the Fourth Proportional to 13,930.65, 20,900.34 and 4,070.16

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Solution

The fourth proportional to 13,930.65, 20,900.34 and 4,070.16 is: 6,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,930.65 : 20,900.34 = 4,070.16 : x
  2. Step 2: Convert to fraction form
    13,930.65/20,900.34 = 4,070.16/x
  3. Step 3: Cross multiply
    13,930.65x = 20,900.34 × 4,070.16
  4. Step 4: Simplify right side
    13,930.65x = 85,067,727.85
  5. Step 5: Solve for x
    x = 85,067,727.85/13,930.65
  6. Step 6: Final answer
    x = 6,106.52

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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.