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Finding the Fourth Proportional to 15,981.48, 23,950.02 and 8,173.80

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Solution

The fourth proportional to 15,981.48, 23,950.02 and 8,173.80 is: 12,249.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,981.48 : 23,950.02 = 8,173.80 : x
  2. Step 2: Convert to fraction form
    15,981.48/23,950.02 = 8,173.80/x
  3. Step 3: Cross multiply
    15,981.48x = 23,950.02 × 8,173.80
  4. Step 4: Simplify right side
    15,981.48x = 195,762,673.48
  5. Step 5: Solve for x
    x = 195,762,673.48/15,981.48
  6. Step 6: Final answer
    x = 12,249.35

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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.