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Finding the Fourth Proportional to 12,751.21, 19,122.09 and 4,429

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Solution

The fourth proportional to 12,751.21, 19,122.09 and 4,429 is: 6,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.21 : 19,122.09 = 4,429 : x
  2. Step 2: Convert to fraction form
    12,751.21/19,122.09 = 4,429/x
  3. Step 3: Cross multiply
    12,751.21x = 19,122.09 × 4,429
  4. Step 4: Simplify right side
    12,751.21x = 84,691,736.61
  5. Step 5: Solve for x
    x = 84,691,736.61/12,751.21
  6. Step 6: Final answer
    x = 6,641.86

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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.