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Finding the Fourth Proportional to 18,942, 28,411.80 and 5,793.30

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Solution

The fourth proportional to 18,942, 28,411.80 and 5,793.30 is: 8,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,942 : 28,411.80 = 5,793.30 : x
  2. Step 2: Convert to fraction form
    18,942/28,411.80 = 5,793.30/x
  3. Step 3: Cross multiply
    18,942x = 28,411.80 × 5,793.30
  4. Step 4: Simplify right side
    18,942x = 164,598,080.94
  5. Step 5: Solve for x
    x = 164,598,080.94/18,942
  6. Step 6: Final answer
    x = 8,689.58

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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.