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Finding the Fourth Proportional to 13,778.16, 20,669.90 and 5,880.56

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Solution

The fourth proportional to 13,778.16, 20,669.90 and 5,880.56 is: 8,821.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.16 : 20,669.90 = 5,880.56 : x
  2. Step 2: Convert to fraction form
    13,778.16/20,669.90 = 5,880.56/x
  3. Step 3: Cross multiply
    13,778.16x = 20,669.90 × 5,880.56
  4. Step 4: Simplify right side
    13,778.16x = 121,550,587.14
  5. Step 5: Solve for x
    x = 121,550,587.14/13,778.16
  6. Step 6: Final answer
    x = 8,821.98

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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.