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Finding the Fourth Proportional to 15,353.94, 23,035.77 and 5,493

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Solution

The fourth proportional to 15,353.94, 23,035.77 and 5,493 is: 8,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,353.94 : 23,035.77 = 5,493 : x
  2. Step 2: Convert to fraction form
    15,353.94/23,035.77 = 5,493/x
  3. Step 3: Cross multiply
    15,353.94x = 23,035.77 × 5,493
  4. Step 4: Simplify right side
    15,353.94x = 126,535,484.61
  5. Step 5: Solve for x
    x = 126,535,484.61/15,353.94
  6. Step 6: Final answer
    x = 8,241.24

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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.