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Finding the Fourth Proportional to 25,347.87, 38,029.91 and 12,193.07

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Solution

The fourth proportional to 25,347.87, 38,029.91 and 12,193.07 is: 18,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,347.87 : 38,029.91 = 12,193.07 : x
  2. Step 2: Convert to fraction form
    25,347.87/38,029.91 = 12,193.07/x
  3. Step 3: Cross multiply
    25,347.87x = 38,029.91 × 12,193.07
  4. Step 4: Simplify right side
    25,347.87x = 463,701,103.61
  5. Step 5: Solve for x
    x = 463,701,103.61/25,347.87
  6. Step 6: Final answer
    x = 18,293.49

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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.