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Finding the Fourth Proportional to 16,538.02, 24,809.76 and 8,218.30

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Solution

The fourth proportional to 16,538.02, 24,809.76 and 8,218.30 is: 12,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.02 : 24,809.76 = 8,218.30 : x
  2. Step 2: Convert to fraction form
    16,538.02/24,809.76 = 8,218.30/x
  3. Step 3: Cross multiply
    16,538.02x = 24,809.76 × 8,218.30
  4. Step 4: Simplify right side
    16,538.02x = 203,894,050.61
  5. Step 5: Solve for x
    x = 203,894,050.61/16,538.02
  6. Step 6: Final answer
    x = 12,328.81

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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.