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Finding the Fourth Proportional to 16,114.05, 22,235.96 and 9,400.27

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Solution

The fourth proportional to 16,114.05, 22,235.96 and 9,400.27 is: 12,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.05 : 22,235.96 = 9,400.27 : x
  2. Step 2: Convert to fraction form
    16,114.05/22,235.96 = 9,400.27/x
  3. Step 3: Cross multiply
    16,114.05x = 22,235.96 × 9,400.27
  4. Step 4: Simplify right side
    16,114.05x = 209,024,027.71
  5. Step 5: Solve for x
    x = 209,024,027.71/16,114.05
  6. Step 6: Final answer
    x = 12,971.54

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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.