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Finding the Fourth Proportional to 16,238.78, 22,410.83 and 12,909.07

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Solution

The fourth proportional to 16,238.78, 22,410.83 and 12,909.07 is: 17,815.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.78 : 22,410.83 = 12,909.07 : x
  2. Step 2: Convert to fraction form
    16,238.78/22,410.83 = 12,909.07/x
  3. Step 3: Cross multiply
    16,238.78x = 22,410.83 × 12,909.07
  4. Step 4: Simplify right side
    16,238.78x = 289,302,960.90
  5. Step 5: Solve for x
    x = 289,302,960.90/16,238.78
  6. Step 6: Final answer
    x = 17,815.56

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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.