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Finding the Fourth Proportional to 16,524.87, 24,782.05 and 5,429.00

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Solution

The fourth proportional to 16,524.87, 24,782.05 and 5,429.00 is: 8,141.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,524.87 : 24,782.05 = 5,429.00 : x
  2. Step 2: Convert to fraction form
    16,524.87/24,782.05 = 5,429.00/x
  3. Step 3: Cross multiply
    16,524.87x = 24,782.05 × 5,429.00
  4. Step 4: Simplify right side
    16,524.87x = 134,541,748.49
  5. Step 5: Solve for x
    x = 134,541,748.49/16,524.87
  6. Step 6: Final answer
    x = 8,141.77

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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.