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Finding the Fourth Proportional to 22,412.34, 33,618.51 and 9,250.24

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Solution

The fourth proportional to 22,412.34, 33,618.51 and 9,250.24 is: 13,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,412.34 : 33,618.51 = 9,250.24 : x
  2. Step 2: Convert to fraction form
    22,412.34/33,618.51 = 9,250.24/x
  3. Step 3: Cross multiply
    22,412.34x = 33,618.51 × 9,250.24
  4. Step 4: Simplify right side
    22,412.34x = 310,979,285.94
  5. Step 5: Solve for x
    x = 310,979,285.94/22,412.34
  6. Step 6: Final answer
    x = 13,875.36

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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.