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Finding the Fourth Proportional to 22,164.40, 33,259 and 11,775.88

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Solution

The fourth proportional to 22,164.40, 33,259 and 11,775.88 is: 17,670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.40 : 33,259 = 11,775.88 : x
  2. Step 2: Convert to fraction form
    22,164.40/33,259 = 11,775.88/x
  3. Step 3: Cross multiply
    22,164.40x = 33,259 × 11,775.88
  4. Step 4: Simplify right side
    22,164.40x = 391,653,992.92
  5. Step 5: Solve for x
    x = 391,653,992.92/22,164.40
  6. Step 6: Final answer
    x = 17,670.41

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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.