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Finding the Fourth Proportional to 22,957, 34,441.26 and 6,541

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Solution

The fourth proportional to 22,957, 34,441.26 and 6,541 is: 9,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957 : 34,441.26 = 6,541 : x
  2. Step 2: Convert to fraction form
    22,957/34,441.26 = 6,541/x
  3. Step 3: Cross multiply
    22,957x = 34,441.26 × 6,541
  4. Step 4: Simplify right side
    22,957x = 225,280,281.66
  5. Step 5: Solve for x
    x = 225,280,281.66/22,957
  6. Step 6: Final answer
    x = 9,813.14

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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.