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Finding the Fourth Proportional to 22,641.16, 33,962.95 and 6,845.79

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Solution

The fourth proportional to 22,641.16, 33,962.95 and 6,845.79 is: 10,269.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.16 : 33,962.95 = 6,845.79 : x
  2. Step 2: Convert to fraction form
    22,641.16/33,962.95 = 6,845.79/x
  3. Step 3: Cross multiply
    22,641.16x = 33,962.95 × 6,845.79
  4. Step 4: Simplify right side
    22,641.16x = 232,503,223.48
  5. Step 5: Solve for x
    x = 232,503,223.48/22,641.16
  6. Step 6: Final answer
    x = 10,269.05

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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.