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Finding the Fourth Proportional to 14,562.80, 21,844.20 and 6,241.40

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Solution

The fourth proportional to 14,562.80, 21,844.20 and 6,241.40 is: 9,362.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.80 : 21,844.20 = 6,241.40 : x
  2. Step 2: Convert to fraction form
    14,562.80/21,844.20 = 6,241.40/x
  3. Step 3: Cross multiply
    14,562.80x = 21,844.20 × 6,241.40
  4. Step 4: Simplify right side
    14,562.80x = 136,338,389.88
  5. Step 5: Solve for x
    x = 136,338,389.88/14,562.80
  6. Step 6: Final answer
    x = 9,362.10

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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.