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Finding the Fourth Proportional to 16,486.68, 22,751.28 and 11,778.96

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Solution

The fourth proportional to 16,486.68, 22,751.28 and 11,778.96 is: 16,254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.68 : 22,751.28 = 11,778.96 : x
  2. Step 2: Convert to fraction form
    16,486.68/22,751.28 = 11,778.96/x
  3. Step 3: Cross multiply
    16,486.68x = 22,751.28 × 11,778.96
  4. Step 4: Simplify right side
    16,486.68x = 267,986,417.07
  5. Step 5: Solve for x
    x = 267,986,417.07/16,486.68
  6. Step 6: Final answer
    x = 16,254.72

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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.