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Finding the Fourth Proportional to 13,671.23, 20,509.65 and 5,237.15

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Solution

The fourth proportional to 13,671.23, 20,509.65 and 5,237.15 is: 7,856.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.23 : 20,509.65 = 5,237.15 : x
  2. Step 2: Convert to fraction form
    13,671.23/20,509.65 = 5,237.15/x
  3. Step 3: Cross multiply
    13,671.23x = 20,509.65 × 5,237.15
  4. Step 4: Simplify right side
    13,671.23x = 107,412,010.95
  5. Step 5: Solve for x
    x = 107,412,010.95/13,671.23
  6. Step 6: Final answer
    x = 7,856.79

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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.