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Finding the Fourth Proportional to 16,523.60, 24,785.80 and 5,429.84

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Solution

The fourth proportional to 16,523.60, 24,785.80 and 5,429.84 is: 8,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.60 : 24,785.80 = 5,429.84 : x
  2. Step 2: Convert to fraction form
    16,523.60/24,785.80 = 5,429.84/x
  3. Step 3: Cross multiply
    16,523.60x = 24,785.80 × 5,429.84
  4. Step 4: Simplify right side
    16,523.60x = 134,582,790.77
  5. Step 5: Solve for x
    x = 134,582,790.77/16,523.60
  6. Step 6: Final answer
    x = 8,144.89

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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.