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Finding the Fourth Proportional to 19,252.34, 28,882.34 and 9,391.80

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Solution

The fourth proportional to 19,252.34, 28,882.34 and 9,391.80 is: 14,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,252.34 : 28,882.34 = 9,391.80 : x
  2. Step 2: Convert to fraction form
    19,252.34/28,882.34 = 9,391.80/x
  3. Step 3: Cross multiply
    19,252.34x = 28,882.34 × 9,391.80
  4. Step 4: Simplify right side
    19,252.34x = 271,257,113.85
  5. Step 5: Solve for x
    x = 271,257,113.85/19,252.34
  6. Step 6: Final answer
    x = 14,089.57

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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.