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Finding the Fourth Proportional to 20,454.56, 30,681.89 and 6,223.16

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Solution

The fourth proportional to 20,454.56, 30,681.89 and 6,223.16 is: 9,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,454.56 : 30,681.89 = 6,223.16 : x
  2. Step 2: Convert to fraction form
    20,454.56/30,681.89 = 6,223.16/x
  3. Step 3: Cross multiply
    20,454.56x = 30,681.89 × 6,223.16
  4. Step 4: Simplify right side
    20,454.56x = 190,938,126.05
  5. Step 5: Solve for x
    x = 190,938,126.05/20,454.56
  6. Step 6: Final answer
    x = 9,334.75

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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.