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Finding the Fourth Proportional to 24,539, 36,794.46 and 11,384.60

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Solution

The fourth proportional to 24,539, 36,794.46 and 11,384.60 is: 17,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,539 : 36,794.46 = 11,384.60 : x
  2. Step 2: Convert to fraction form
    24,539/36,794.46 = 11,384.60/x
  3. Step 3: Cross multiply
    24,539x = 36,794.46 × 11,384.60
  4. Step 4: Simplify right side
    24,539x = 418,890,209.32
  5. Step 5: Solve for x
    x = 418,890,209.32/24,539
  6. Step 6: Final answer
    x = 17,070.39

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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.