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Finding the Fourth Proportional to 16,775.71, 25,170.75 and 5,683.57

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Solution

The fourth proportional to 16,775.71, 25,170.75 and 5,683.57 is: 8,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,775.71 : 25,170.75 = 5,683.57 : x
  2. Step 2: Convert to fraction form
    16,775.71/25,170.75 = 5,683.57/x
  3. Step 3: Cross multiply
    16,775.71x = 25,170.75 × 5,683.57
  4. Step 4: Simplify right side
    16,775.71x = 143,059,719.58
  5. Step 5: Solve for x
    x = 143,059,719.58/16,775.71
  6. Step 6: Final answer
    x = 8,527.79

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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.