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Finding the Fourth Proportional to 27,098.40, 40,647.60 and 22,821.60

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Solution

The fourth proportional to 27,098.40, 40,647.60 and 22,821.60 is: 34,232.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,098.40 : 40,647.60 = 22,821.60 : x
  2. Step 2: Convert to fraction form
    27,098.40/40,647.60 = 22,821.60/x
  3. Step 3: Cross multiply
    27,098.40x = 40,647.60 × 22,821.60
  4. Step 4: Simplify right side
    27,098.40x = 927,643,268.16
  5. Step 5: Solve for x
    x = 927,643,268.16/27,098.40
  6. Step 6: Final answer
    x = 34,232.40

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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.