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Finding the Fourth Proportional to 16,148.86, 24,223.28 and 5,056.41

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Solution

The fourth proportional to 16,148.86, 24,223.28 and 5,056.41 is: 7,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.86 : 24,223.28 = 5,056.41 : x
  2. Step 2: Convert to fraction form
    16,148.86/24,223.28 = 5,056.41/x
  3. Step 3: Cross multiply
    16,148.86x = 24,223.28 × 5,056.41
  4. Step 4: Simplify right side
    16,148.86x = 122,482,912.93
  5. Step 5: Solve for x
    x = 122,482,912.93/16,148.86
  6. Step 6: Final answer
    x = 7,584.62

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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.