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Finding the Fourth Proportional to 16,555.60, 24,814.20 and 6,688.40

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Solution

The fourth proportional to 16,555.60, 24,814.20 and 6,688.40 is: 10,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,555.60 : 24,814.20 = 6,688.40 : x
  2. Step 2: Convert to fraction form
    16,555.60/24,814.20 = 6,688.40/x
  3. Step 3: Cross multiply
    16,555.60x = 24,814.20 × 6,688.40
  4. Step 4: Simplify right side
    16,555.60x = 165,967,295.28
  5. Step 5: Solve for x
    x = 165,967,295.28/16,555.60
  6. Step 6: Final answer
    x = 10,024.84

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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.