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Finding the Fourth Proportional to 16,001.74, 22,082.16 and 8,927.98

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Solution

The fourth proportional to 16,001.74, 22,082.16 and 8,927.98 is: 12,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001.74 : 22,082.16 = 8,927.98 : x
  2. Step 2: Convert to fraction form
    16,001.74/22,082.16 = 8,927.98/x
  3. Step 3: Cross multiply
    16,001.74x = 22,082.16 × 8,927.98
  4. Step 4: Simplify right side
    16,001.74x = 197,149,082.84
  5. Step 5: Solve for x
    x = 197,149,082.84/16,001.74
  6. Step 6: Final answer
    x = 12,320.48

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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.