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Finding the Fourth Proportional to 13,454.16, 20,184.47 and 4,220.16

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Solution

The fourth proportional to 13,454.16, 20,184.47 and 4,220.16 is: 6,331.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.16 : 20,184.47 = 4,220.16 : x
  2. Step 2: Convert to fraction form
    13,454.16/20,184.47 = 4,220.16/x
  3. Step 3: Cross multiply
    13,454.16x = 20,184.47 × 4,220.16
  4. Step 4: Simplify right side
    13,454.16x = 85,181,635.69
  5. Step 5: Solve for x
    x = 85,181,635.69/13,454.16
  6. Step 6: Final answer
    x = 6,331.25

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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.