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Finding the Fourth Proportional to 13,872.87, 20,808.70 and 4,011.93

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Solution

The fourth proportional to 13,872.87, 20,808.70 and 4,011.93 is: 6,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,872.87 : 20,808.70 = 4,011.93 : x
  2. Step 2: Convert to fraction form
    13,872.87/20,808.70 = 4,011.93/x
  3. Step 3: Cross multiply
    13,872.87x = 20,808.70 × 4,011.93
  4. Step 4: Simplify right side
    13,872.87x = 83,483,037.76
  5. Step 5: Solve for x
    x = 83,483,037.76/13,872.87
  6. Step 6: Final answer
    x = 6,017.72

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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.