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Finding the Fourth Proportional to 16,186.77, 22,351.82 and 12,447

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Solution

The fourth proportional to 16,186.77, 22,351.82 and 12,447 is: 17,187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.77 : 22,351.82 = 12,447 : x
  2. Step 2: Convert to fraction form
    16,186.77/22,351.82 = 12,447/x
  3. Step 3: Cross multiply
    16,186.77x = 22,351.82 × 12,447
  4. Step 4: Simplify right side
    16,186.77x = 278,213,041.31
  5. Step 5: Solve for x
    x = 278,213,041.31/16,186.77
  6. Step 6: Final answer
    x = 17,187.68

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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.