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Finding the Fourth Proportional to 16,588.20, 24,884.04 and 7,820.76

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Solution

The fourth proportional to 16,588.20, 24,884.04 and 7,820.76 is: 11,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,588.20 : 24,884.04 = 7,820.76 : x
  2. Step 2: Convert to fraction form
    16,588.20/24,884.04 = 7,820.76/x
  3. Step 3: Cross multiply
    16,588.20x = 24,884.04 × 7,820.76
  4. Step 4: Simplify right side
    16,588.20x = 194,612,104.67
  5. Step 5: Solve for x
    x = 194,612,104.67/16,588.20
  6. Step 6: Final answer
    x = 11,731.96

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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.