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Finding the Fourth Proportional to 16,202.95, 24,306.48 and 4,516.17

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Solution

The fourth proportional to 16,202.95, 24,306.48 and 4,516.17 is: 6,774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.95 : 24,306.48 = 4,516.17 : x
  2. Step 2: Convert to fraction form
    16,202.95/24,306.48 = 4,516.17/x
  3. Step 3: Cross multiply
    16,202.95x = 24,306.48 × 4,516.17
  4. Step 4: Simplify right side
    16,202.95x = 109,772,241.36
  5. Step 5: Solve for x
    x = 109,772,241.36/16,202.95
  6. Step 6: Final answer
    x = 6,774.83

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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.