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Finding the Fourth Proportional to 19,074, 28,612.98 and 5,223

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Solution

The fourth proportional to 19,074, 28,612.98 and 5,223 is: 7,835.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,074 : 28,612.98 = 5,223 : x
  2. Step 2: Convert to fraction form
    19,074/28,612.98 = 5,223/x
  3. Step 3: Cross multiply
    19,074x = 28,612.98 × 5,223
  4. Step 4: Simplify right side
    19,074x = 149,445,594.54
  5. Step 5: Solve for x
    x = 149,445,594.54/19,074
  6. Step 6: Final answer
    x = 7,835.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.