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Finding the Fourth Proportional to 12,648.42, 18,977.55 and 5,251

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Solution

The fourth proportional to 12,648.42, 18,977.55 and 5,251 is: 7,878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.42 : 18,977.55 = 5,251 : x
  2. Step 2: Convert to fraction form
    12,648.42/18,977.55 = 5,251/x
  3. Step 3: Cross multiply
    12,648.42x = 18,977.55 × 5,251
  4. Step 4: Simplify right side
    12,648.42x = 99,651,115.05
  5. Step 5: Solve for x
    x = 99,651,115.05/12,648.42
  6. Step 6: Final answer
    x = 7,878.55

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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.