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Finding the Fourth Proportional to 13,711.51, 20,575.32 and 8,713.68

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Solution

The fourth proportional to 13,711.51, 20,575.32 and 8,713.68 is: 13,075.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.51 : 20,575.32 = 8,713.68 : x
  2. Step 2: Convert to fraction form
    13,711.51/20,575.32 = 8,713.68/x
  3. Step 3: Cross multiply
    13,711.51x = 20,575.32 × 8,713.68
  4. Step 4: Simplify right side
    13,711.51x = 179,286,644.54
  5. Step 5: Solve for x
    x = 179,286,644.54/13,711.51
  6. Step 6: Final answer
    x = 13,075.63

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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.