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Finding the Fourth Proportional to 14,037.68, 21,057.42 and 5,713.16

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Solution

The fourth proportional to 14,037.68, 21,057.42 and 5,713.16 is: 8,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,037.68 : 21,057.42 = 5,713.16 : x
  2. Step 2: Convert to fraction form
    14,037.68/21,057.42 = 5,713.16/x
  3. Step 3: Cross multiply
    14,037.68x = 21,057.42 × 5,713.16
  4. Step 4: Simplify right side
    14,037.68x = 120,304,409.65
  5. Step 5: Solve for x
    x = 120,304,409.65/14,037.68
  6. Step 6: Final answer
    x = 8,570.11

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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.