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Finding the Fourth Proportional to 16,277.15, 22,461.41 and 9,105.83

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Solution

The fourth proportional to 16,277.15, 22,461.41 and 9,105.83 is: 12,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.15 : 22,461.41 = 9,105.83 : x
  2. Step 2: Convert to fraction form
    16,277.15/22,461.41 = 9,105.83/x
  3. Step 3: Cross multiply
    16,277.15x = 22,461.41 × 9,105.83
  4. Step 4: Simplify right side
    16,277.15x = 204,529,781.02
  5. Step 5: Solve for x
    x = 204,529,781.02/16,277.15
  6. Step 6: Final answer
    x = 12,565.45

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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.