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Finding the Fourth Proportional to 16,337.34, 24,509.70 and 5,949

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Solution

The fourth proportional to 16,337.34, 24,509.70 and 5,949 is: 8,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,337.34 : 24,509.70 = 5,949 : x
  2. Step 2: Convert to fraction form
    16,337.34/24,509.70 = 5,949/x
  3. Step 3: Cross multiply
    16,337.34x = 24,509.70 × 5,949
  4. Step 4: Simplify right side
    16,337.34x = 145,808,205.30
  5. Step 5: Solve for x
    x = 145,808,205.30/16,337.34
  6. Step 6: Final answer
    x = 8,924.84

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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.