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Finding the Fourth Proportional to 24,864, 37,265.60 and 11,698.88

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Solution

The fourth proportional to 24,864, 37,265.60 and 11,698.88 is: 17,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,864 : 37,265.60 = 11,698.88 : x
  2. Step 2: Convert to fraction form
    24,864/37,265.60 = 11,698.88/x
  3. Step 3: Cross multiply
    24,864x = 37,265.60 × 11,698.88
  4. Step 4: Simplify right side
    24,864x = 435,965,782.53
  5. Step 5: Solve for x
    x = 435,965,782.53/24,864
  6. Step 6: Final answer
    x = 17,534.02

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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.