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Finding the Fourth Proportional to 15,720.75, 21,685.41 and 10,131.75

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Solution

The fourth proportional to 15,720.75, 21,685.41 and 10,131.75 is: 13,975.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,720.75 : 21,685.41 = 10,131.75 : x
  2. Step 2: Convert to fraction form
    15,720.75/21,685.41 = 10,131.75/x
  3. Step 3: Cross multiply
    15,720.75x = 21,685.41 × 10,131.75
  4. Step 4: Simplify right side
    15,720.75x = 219,711,152.77
  5. Step 5: Solve for x
    x = 219,711,152.77/15,720.75
  6. Step 6: Final answer
    x = 13,975.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.