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Finding the Fourth Proportional to 16,036, 24,053.94 and 4,349.20

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Solution

The fourth proportional to 16,036, 24,053.94 and 4,349.20 is: 6,523.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,036 : 24,053.94 = 4,349.20 : x
  2. Step 2: Convert to fraction form
    16,036/24,053.94 = 4,349.20/x
  3. Step 3: Cross multiply
    16,036x = 24,053.94 × 4,349.20
  4. Step 4: Simplify right side
    16,036x = 104,615,395.85
  5. Step 5: Solve for x
    x = 104,615,395.85/16,036
  6. Step 6: Final answer
    x = 6,523.78

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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.