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Finding the Fourth Proportional to 13,042.12, 19,563.72 and 5,251

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Solution

The fourth proportional to 13,042.12, 19,563.72 and 5,251 is: 7,876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042.12 : 19,563.72 = 5,251 : x
  2. Step 2: Convert to fraction form
    13,042.12/19,563.72 = 5,251/x
  3. Step 3: Cross multiply
    13,042.12x = 19,563.72 × 5,251
  4. Step 4: Simplify right side
    13,042.12x = 102,729,093.72
  5. Step 5: Solve for x
    x = 102,729,093.72/13,042.12
  6. Step 6: Final answer
    x = 7,876.72

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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.