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Finding the Fourth Proportional to 16,473.76, 24,764.16 and 13,222.48

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Solution

The fourth proportional to 16,473.76, 24,764.16 and 13,222.48 is: 19,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,473.76 : 24,764.16 = 13,222.48 : x
  2. Step 2: Convert to fraction form
    16,473.76/24,764.16 = 13,222.48/x
  3. Step 3: Cross multiply
    16,473.76x = 24,764.16 × 13,222.48
  4. Step 4: Simplify right side
    16,473.76x = 327,443,610.32
  5. Step 5: Solve for x
    x = 327,443,610.32/16,473.76
  6. Step 6: Final answer
    x = 19,876.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.