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Finding the Fourth Proportional to 22,412.72, 33,619.12 and 9,250.64

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Solution

The fourth proportional to 22,412.72, 33,619.12 and 9,250.64 is: 13,875.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,412.72 : 33,619.12 = 9,250.64 : x
  2. Step 2: Convert to fraction form
    22,412.72/33,619.12 = 9,250.64/x
  3. Step 3: Cross multiply
    22,412.72x = 33,619.12 × 9,250.64
  4. Step 4: Simplify right side
    22,412.72x = 310,998,376.24
  5. Step 5: Solve for x
    x = 310,998,376.24/22,412.72
  6. Step 6: Final answer
    x = 13,875.98

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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.