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Finding the Fourth Proportional to 24,746, 37,026 and 17,364.86

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Solution

The fourth proportional to 24,746, 37,026 and 17,364.86 is: 25,982.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,746 : 37,026 = 17,364.86 : x
  2. Step 2: Convert to fraction form
    24,746/37,026 = 17,364.86/x
  3. Step 3: Cross multiply
    24,746x = 37,026 × 17,364.86
  4. Step 4: Simplify right side
    24,746x = 642,951,306.36
  5. Step 5: Solve for x
    x = 642,951,306.36/24,746
  6. Step 6: Final answer
    x = 25,982.03

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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.