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Finding the Fourth Proportional to 22,644.86, 33,967.71 and 7,854.26

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Solution

The fourth proportional to 22,644.86, 33,967.71 and 7,854.26 is: 11,781.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,644.86 : 33,967.71 = 7,854.26 : x
  2. Step 2: Convert to fraction form
    22,644.86/33,967.71 = 7,854.26/x
  3. Step 3: Cross multiply
    22,644.86x = 33,967.71 × 7,854.26
  4. Step 4: Simplify right side
    22,644.86x = 266,791,056.11
  5. Step 5: Solve for x
    x = 266,791,056.11/22,644.86
  6. Step 6: Final answer
    x = 11,781.53

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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.