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Finding the Fourth Proportional to 16,139.58, 24,203.22 and 6,277.68

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Solution

The fourth proportional to 16,139.58, 24,203.22 and 6,277.68 is: 9,414.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,139.58 : 24,203.22 = 6,277.68 : x
  2. Step 2: Convert to fraction form
    16,139.58/24,203.22 = 6,277.68/x
  3. Step 3: Cross multiply
    16,139.58x = 24,203.22 × 6,277.68
  4. Step 4: Simplify right side
    16,139.58x = 151,940,070.13
  5. Step 5: Solve for x
    x = 151,940,070.13/16,139.58
  6. Step 6: Final answer
    x = 9,414.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.