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Finding the Fourth Proportional to 13,876.63, 19,149.78 and 7,588.96

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Solution

The fourth proportional to 13,876.63, 19,149.78 and 7,588.96 is: 10,472.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.63 : 19,149.78 = 7,588.96 : x
  2. Step 2: Convert to fraction form
    13,876.63/19,149.78 = 7,588.96/x
  3. Step 3: Cross multiply
    13,876.63x = 19,149.78 × 7,588.96
  4. Step 4: Simplify right side
    13,876.63x = 145,326,914.43
  5. Step 5: Solve for x
    x = 145,326,914.43/13,876.63
  6. Step 6: Final answer
    x = 10,472.78

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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.