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Finding the Fourth Proportional to 13,578.48, 20,363.76 and 4,216.08

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Solution

The fourth proportional to 13,578.48, 20,363.76 and 4,216.08 is: 6,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.48 : 20,363.76 = 4,216.08 : x
  2. Step 2: Convert to fraction form
    13,578.48/20,363.76 = 4,216.08/x
  3. Step 3: Cross multiply
    13,578.48x = 20,363.76 × 4,216.08
  4. Step 4: Simplify right side
    13,578.48x = 85,855,241.26
  5. Step 5: Solve for x
    x = 85,855,241.26/13,578.48
  6. Step 6: Final answer
    x = 6,322.89

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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.