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Finding the Fourth Proportional to 27,490.40, 41,235.60 and 9,022.40

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Solution

The fourth proportional to 27,490.40, 41,235.60 and 9,022.40 is: 13,533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,490.40 : 41,235.60 = 9,022.40 : x
  2. Step 2: Convert to fraction form
    27,490.40/41,235.60 = 9,022.40/x
  3. Step 3: Cross multiply
    27,490.40x = 41,235.60 × 9,022.40
  4. Step 4: Simplify right side
    27,490.40x = 372,044,077.44
  5. Step 5: Solve for x
    x = 372,044,077.44/27,490.40
  6. Step 6: Final answer
    x = 13,533.60

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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.