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Finding the Fourth Proportional to 23,805.48, 32,853.48 and 13,198.50

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Solution

The fourth proportional to 23,805.48, 32,853.48 and 13,198.50 is: 18,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.48 : 32,853.48 = 13,198.50 : x
  2. Step 2: Convert to fraction form
    23,805.48/32,853.48 = 13,198.50/x
  3. Step 3: Cross multiply
    23,805.48x = 32,853.48 × 13,198.50
  4. Step 4: Simplify right side
    23,805.48x = 433,616,655.78
  5. Step 5: Solve for x
    x = 433,616,655.78/23,805.48
  6. Step 6: Final answer
    x = 18,214.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.