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Finding the Fourth Proportional to 16,116.06, 22,238.73 and 9,402.27

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Solution

The fourth proportional to 16,116.06, 22,238.73 and 9,402.27 is: 12,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.06 : 22,238.73 = 9,402.27 : x
  2. Step 2: Convert to fraction form
    16,116.06/22,238.73 = 9,402.27/x
  3. Step 3: Cross multiply
    16,116.06x = 22,238.73 × 9,402.27
  4. Step 4: Simplify right side
    16,116.06x = 209,094,543.92
  5. Step 5: Solve for x
    x = 209,094,543.92/16,116.06
  6. Step 6: Final answer
    x = 12,974.30

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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.