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Finding the Fourth Proportional to 16,459.34, 24,689 and 5,366.02

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Solution

The fourth proportional to 16,459.34, 24,689 and 5,366.02 is: 8,049.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,459.34 : 24,689 = 5,366.02 : x
  2. Step 2: Convert to fraction form
    16,459.34/24,689 = 5,366.02/x
  3. Step 3: Cross multiply
    16,459.34x = 24,689 × 5,366.02
  4. Step 4: Simplify right side
    16,459.34x = 132,481,667.78
  5. Step 5: Solve for x
    x = 132,481,667.78/16,459.34
  6. Step 6: Final answer
    x = 8,049.03

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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.