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Finding the Fourth Proportional to 16,400.70, 24,601.32 and 5,155.69

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Solution

The fourth proportional to 16,400.70, 24,601.32 and 5,155.69 is: 7,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.70 : 24,601.32 = 5,155.69 : x
  2. Step 2: Convert to fraction form
    16,400.70/24,601.32 = 5,155.69/x
  3. Step 3: Cross multiply
    16,400.70x = 24,601.32 × 5,155.69
  4. Step 4: Simplify right side
    16,400.70x = 126,836,779.51
  5. Step 5: Solve for x
    x = 126,836,779.51/16,400.70
  6. Step 6: Final answer
    x = 7,733.62

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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.