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Finding the Fourth Proportional to 24,853.08, 37,209.65 and 18,642

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Solution

The fourth proportional to 24,853.08, 37,209.65 and 18,642 is: 27,910.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,853.08 : 37,209.65 = 18,642 : x
  2. Step 2: Convert to fraction form
    24,853.08/37,209.65 = 18,642/x
  3. Step 3: Cross multiply
    24,853.08x = 37,209.65 × 18,642
  4. Step 4: Simplify right side
    24,853.08x = 693,662,295.30
  5. Step 5: Solve for x
    x = 693,662,295.30/24,853.08
  6. Step 6: Final answer
    x = 27,910.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.