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Finding the Fourth Proportional to 12,951.34, 17,872.92 and 7,648.76

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Solution

The fourth proportional to 12,951.34, 17,872.92 and 7,648.76 is: 10,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.34 : 17,872.92 = 7,648.76 : x
  2. Step 2: Convert to fraction form
    12,951.34/17,872.92 = 7,648.76/x
  3. Step 3: Cross multiply
    12,951.34x = 17,872.92 × 7,648.76
  4. Step 4: Simplify right side
    12,951.34x = 136,705,720.26
  5. Step 5: Solve for x
    x = 136,705,720.26/12,951.34
  6. Step 6: Final answer
    x = 10,555.34

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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.