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Finding the Fourth Proportional to 13,407.39, 20,118.78 and 5,616

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Solution

The fourth proportional to 13,407.39, 20,118.78 and 5,616 is: 8,427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.39 : 20,118.78 = 5,616 : x
  2. Step 2: Convert to fraction form
    13,407.39/20,118.78 = 5,616/x
  3. Step 3: Cross multiply
    13,407.39x = 20,118.78 × 5,616
  4. Step 4: Simplify right side
    13,407.39x = 112,987,068.48
  5. Step 5: Solve for x
    x = 112,987,068.48/13,407.39
  6. Step 6: Final answer
    x = 8,427.22

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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.