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Finding the Fourth Proportional to 13,473.48, 20,212.49 and 6,077.76

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Solution

The fourth proportional to 13,473.48, 20,212.49 and 6,077.76 is: 9,117.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,473.48 : 20,212.49 = 6,077.76 : x
  2. Step 2: Convert to fraction form
    13,473.48/20,212.49 = 6,077.76/x
  3. Step 3: Cross multiply
    13,473.48x = 20,212.49 × 6,077.76
  4. Step 4: Simplify right side
    13,473.48x = 122,846,632.83
  5. Step 5: Solve for x
    x = 122,846,632.83/13,473.48
  6. Step 6: Final answer
    x = 9,117.66

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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.