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Finding the Fourth Proportional to 16,118.16, 24,174 and 4,429.86

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Solution

The fourth proportional to 16,118.16, 24,174 and 4,429.86 is: 6,643.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,118.16 : 24,174 = 4,429.86 : x
  2. Step 2: Convert to fraction form
    16,118.16/24,174 = 4,429.86/x
  3. Step 3: Cross multiply
    16,118.16x = 24,174 × 4,429.86
  4. Step 4: Simplify right side
    16,118.16x = 107,087,435.64
  5. Step 5: Solve for x
    x = 107,087,435.64/16,118.16
  6. Step 6: Final answer
    x = 6,643.90

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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.