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Finding the Fourth Proportional to 14,949, 22,412.25 and 9,027.90

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Solution

The fourth proportional to 14,949, 22,412.25 and 9,027.90 is: 13,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,949 : 22,412.25 = 9,027.90 : x
  2. Step 2: Convert to fraction form
    14,949/22,412.25 = 9,027.90/x
  3. Step 3: Cross multiply
    14,949x = 22,412.25 × 9,027.90
  4. Step 4: Simplify right side
    14,949x = 202,335,551.78
  5. Step 5: Solve for x
    x = 202,335,551.78/14,949
  6. Step 6: Final answer
    x = 13,535.06

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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.