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Finding the Fourth Proportional to 24,499.72, 33,803.70 and 15,544

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Solution

The fourth proportional to 24,499.72, 33,803.70 and 15,544 is: 21,446.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,499.72 : 33,803.70 = 15,544 : x
  2. Step 2: Convert to fraction form
    24,499.72/33,803.70 = 15,544/x
  3. Step 3: Cross multiply
    24,499.72x = 33,803.70 × 15,544
  4. Step 4: Simplify right side
    24,499.72x = 525,444,712.80
  5. Step 5: Solve for x
    x = 525,444,712.80/24,499.72
  6. Step 6: Final answer
    x = 21,446.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.