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Finding the Fourth Proportional to 22,421.60, 33,631.18 and 6,838

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Solution

The fourth proportional to 22,421.60, 33,631.18 and 6,838 is: 10,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421.60 : 33,631.18 = 6,838 : x
  2. Step 2: Convert to fraction form
    22,421.60/33,631.18 = 6,838/x
  3. Step 3: Cross multiply
    22,421.60x = 33,631.18 × 6,838
  4. Step 4: Simplify right side
    22,421.60x = 229,970,008.84
  5. Step 5: Solve for x
    x = 229,970,008.84/22,421.60
  6. Step 6: Final answer
    x = 10,256.63

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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.