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Finding the Fourth Proportional to 24,799, 37,188.78 and 10,005.16

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Solution

The fourth proportional to 24,799, 37,188.78 and 10,005.16 is: 15,003.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,799 : 37,188.78 = 10,005.16 : x
  2. Step 2: Convert to fraction form
    24,799/37,188.78 = 10,005.16/x
  3. Step 3: Cross multiply
    24,799x = 37,188.78 × 10,005.16
  4. Step 4: Simplify right side
    24,799x = 372,079,694.10
  5. Step 5: Solve for x
    x = 372,079,694.10/24,799
  6. Step 6: Final answer
    x = 15,003.82

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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.