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Finding the Fourth Proportional to 22,943.40, 34,411 and 6,076.53

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Solution

The fourth proportional to 22,943.40, 34,411 and 6,076.53 is: 9,113.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,943.40 : 34,411 = 6,076.53 : x
  2. Step 2: Convert to fraction form
    22,943.40/34,411 = 6,076.53/x
  3. Step 3: Cross multiply
    22,943.40x = 34,411 × 6,076.53
  4. Step 4: Simplify right side
    22,943.40x = 209,099,473.83
  5. Step 5: Solve for x
    x = 209,099,473.83/22,943.40
  6. Step 6: Final answer
    x = 9,113.71

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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.