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Finding the Fourth Proportional to 19,291.50, 28,937.18 and 6,144.93

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Solution

The fourth proportional to 19,291.50, 28,937.18 and 6,144.93 is: 9,217.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,291.50 : 28,937.18 = 6,144.93 : x
  2. Step 2: Convert to fraction form
    19,291.50/28,937.18 = 6,144.93/x
  3. Step 3: Cross multiply
    19,291.50x = 28,937.18 × 6,144.93
  4. Step 4: Simplify right side
    19,291.50x = 177,816,960.86
  5. Step 5: Solve for x
    x = 177,816,960.86/19,291.50
  6. Step 6: Final answer
    x = 9,217.37

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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.