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Finding the Fourth Proportional to 16,056.86, 24,079.30 and 5,523.93

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Solution

The fourth proportional to 16,056.86, 24,079.30 and 5,523.93 is: 8,283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,056.86 : 24,079.30 = 5,523.93 : x
  2. Step 2: Convert to fraction form
    16,056.86/24,079.30 = 5,523.93/x
  3. Step 3: Cross multiply
    16,056.86x = 24,079.30 × 5,523.93
  4. Step 4: Simplify right side
    16,056.86x = 133,012,353.84
  5. Step 5: Solve for x
    x = 133,012,353.84/16,056.86
  6. Step 6: Final answer
    x = 8,283.84

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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.