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Finding the Fourth Proportional to 13,907.42, 20,861.19 and 4,046.74

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Solution

The fourth proportional to 13,907.42, 20,861.19 and 4,046.74 is: 6,070.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.42 : 20,861.19 = 4,046.74 : x
  2. Step 2: Convert to fraction form
    13,907.42/20,861.19 = 4,046.74/x
  3. Step 3: Cross multiply
    13,907.42x = 20,861.19 × 4,046.74
  4. Step 4: Simplify right side
    13,907.42x = 84,419,812.02
  5. Step 5: Solve for x
    x = 84,419,812.02/13,907.42
  6. Step 6: Final answer
    x = 6,070.13

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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.