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Finding the Fourth Proportional to 13,644.72, 18,822.82 and 7,975.76

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Solution

The fourth proportional to 13,644.72, 18,822.82 and 7,975.76 is: 11,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.72 : 18,822.82 = 7,975.76 : x
  2. Step 2: Convert to fraction form
    13,644.72/18,822.82 = 7,975.76/x
  3. Step 3: Cross multiply
    13,644.72x = 18,822.82 × 7,975.76
  4. Step 4: Simplify right side
    13,644.72x = 150,126,341.90
  5. Step 5: Solve for x
    x = 150,126,341.90/13,644.72
  6. Step 6: Final answer
    x = 11,002.52

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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.