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Finding the Fourth Proportional to 24,694.96, 37,068.76 and 10,661.84

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Solution

The fourth proportional to 24,694.96, 37,068.76 and 10,661.84 is: 16,004.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694.96 : 37,068.76 = 10,661.84 : x
  2. Step 2: Convert to fraction form
    24,694.96/37,068.76 = 10,661.84/x
  3. Step 3: Cross multiply
    24,694.96x = 37,068.76 × 10,661.84
  4. Step 4: Simplify right side
    24,694.96x = 395,221,188.12
  5. Step 5: Solve for x
    x = 395,221,188.12/24,694.96
  6. Step 6: Final answer
    x = 16,004.12

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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.