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Finding the Fourth Proportional to 16,138.98, 24,206.31 and 6,277.32

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Solution

The fourth proportional to 16,138.98, 24,206.31 and 6,277.32 is: 9,415.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,138.98 : 24,206.31 = 6,277.32 : x
  2. Step 2: Convert to fraction form
    16,138.98/24,206.31 = 6,277.32/x
  3. Step 3: Cross multiply
    16,138.98x = 24,206.31 × 6,277.32
  4. Step 4: Simplify right side
    16,138.98x = 151,950,753.89
  5. Step 5: Solve for x
    x = 151,950,753.89/16,138.98
  6. Step 6: Final answer
    x = 9,415.14

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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.