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Finding the Fourth Proportional to 16,239.83, 22,410.74 and 9,166.39

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Solution

The fourth proportional to 16,239.83, 22,410.74 and 9,166.39 is: 12,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,239.83 : 22,410.74 = 9,166.39 : x
  2. Step 2: Convert to fraction form
    16,239.83/22,410.74 = 9,166.39/x
  3. Step 3: Cross multiply
    16,239.83x = 22,410.74 × 9,166.39
  4. Step 4: Simplify right side
    16,239.83x = 205,425,549.92
  5. Step 5: Solve for x
    x = 205,425,549.92/16,239.83
  6. Step 6: Final answer
    x = 12,649.49

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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.