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Finding the Fourth Proportional to 16,259.28, 24,389.04 and 5,871

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Solution

The fourth proportional to 16,259.28, 24,389.04 and 5,871 is: 8,806.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,259.28 : 24,389.04 = 5,871 : x
  2. Step 2: Convert to fraction form
    16,259.28/24,389.04 = 5,871/x
  3. Step 3: Cross multiply
    16,259.28x = 24,389.04 × 5,871
  4. Step 4: Simplify right side
    16,259.28x = 143,188,053.84
  5. Step 5: Solve for x
    x = 143,188,053.84/16,259.28
  6. Step 6: Final answer
    x = 8,806.54

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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.