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Finding the Fourth Proportional to 13,584.98, 20,377.54 and 4,820.16

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Solution

The fourth proportional to 13,584.98, 20,377.54 and 4,820.16 is: 7,230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.98 : 20,377.54 = 4,820.16 : x
  2. Step 2: Convert to fraction form
    13,584.98/20,377.54 = 4,820.16/x
  3. Step 3: Cross multiply
    13,584.98x = 20,377.54 × 4,820.16
  4. Step 4: Simplify right side
    13,584.98x = 98,223,003.21
  5. Step 5: Solve for x
    x = 98,223,003.21/13,584.98
  6. Step 6: Final answer
    x = 7,230.26

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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.