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Finding the Fourth Proportional to 16,102.06, 22,216.64 and 9,294.42

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Solution

The fourth proportional to 16,102.06, 22,216.64 and 9,294.42 is: 12,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.06 : 22,216.64 = 9,294.42 : x
  2. Step 2: Convert to fraction form
    16,102.06/22,216.64 = 9,294.42/x
  3. Step 3: Cross multiply
    16,102.06x = 22,216.64 × 9,294.42
  4. Step 4: Simplify right side
    16,102.06x = 206,490,672.07
  5. Step 5: Solve for x
    x = 206,490,672.07/16,102.06
  6. Step 6: Final answer
    x = 12,823.87

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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.