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Finding the Fourth Proportional to 22,943.90, 34,411.75 and 6,077.03

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Solution

The fourth proportional to 22,943.90, 34,411.75 and 6,077.03 is: 9,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,943.90 : 34,411.75 = 6,077.03 : x
  2. Step 2: Convert to fraction form
    22,943.90/34,411.75 = 6,077.03/x
  3. Step 3: Cross multiply
    22,943.90x = 34,411.75 × 6,077.03
  4. Step 4: Simplify right side
    22,943.90x = 209,121,049.85
  5. Step 5: Solve for x
    x = 209,121,049.85/22,943.90
  6. Step 6: Final answer
    x = 9,114.45

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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.