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Finding the Fourth Proportional to 16,564.80, 24,847.20 and 4,877.76

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Solution

The fourth proportional to 16,564.80, 24,847.20 and 4,877.76 is: 7,316.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.80 : 24,847.20 = 4,877.76 : x
  2. Step 2: Convert to fraction form
    16,564.80/24,847.20 = 4,877.76/x
  3. Step 3: Cross multiply
    16,564.80x = 24,847.20 × 4,877.76
  4. Step 4: Simplify right side
    16,564.80x = 121,198,678.27
  5. Step 5: Solve for x
    x = 121,198,678.27/16,564.80
  6. Step 6: Final answer
    x = 7,316.64

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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.