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Finding the Fourth Proportional to 16,852.68, 25,278.24 and 5,166

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Solution

The fourth proportional to 16,852.68, 25,278.24 and 5,166 is: 7,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.68 : 25,278.24 = 5,166 : x
  2. Step 2: Convert to fraction form
    16,852.68/25,278.24 = 5,166/x
  3. Step 3: Cross multiply
    16,852.68x = 25,278.24 × 5,166
  4. Step 4: Simplify right side
    16,852.68x = 130,587,387.84
  5. Step 5: Solve for x
    x = 130,587,387.84/16,852.68
  6. Step 6: Final answer
    x = 7,748.76

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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.