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Finding the Fourth Proportional to 13,544.19, 20,324.36 and 6,047.17

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Solution

The fourth proportional to 13,544.19, 20,324.36 and 6,047.17 is: 9,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.19 : 20,324.36 = 6,047.17 : x
  2. Step 2: Convert to fraction form
    13,544.19/20,324.36 = 6,047.17/x
  3. Step 3: Cross multiply
    13,544.19x = 20,324.36 × 6,047.17
  4. Step 4: Simplify right side
    13,544.19x = 122,904,728.20
  5. Step 5: Solve for x
    x = 122,904,728.20/13,544.19
  6. Step 6: Final answer
    x = 9,074.35

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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.