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Finding the Fourth Proportional to 22,589.16, 33,885.63 and 9,442.68

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Solution

The fourth proportional to 22,589.16, 33,885.63 and 9,442.68 is: 14,164.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,589.16 : 33,885.63 = 9,442.68 : x
  2. Step 2: Convert to fraction form
    22,589.16/33,885.63 = 9,442.68/x
  3. Step 3: Cross multiply
    22,589.16x = 33,885.63 × 9,442.68
  4. Step 4: Simplify right side
    22,589.16x = 319,971,160.69
  5. Step 5: Solve for x
    x = 319,971,160.69/22,589.16
  6. Step 6: Final answer
    x = 14,164.81

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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.