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Finding the Fourth Proportional to 13,992, 20,987.99 and 9,596.13

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Solution

The fourth proportional to 13,992, 20,987.99 and 9,596.13 is: 14,394.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992 : 20,987.99 = 9,596.13 : x
  2. Step 2: Convert to fraction form
    13,992/20,987.99 = 9,596.13/x
  3. Step 3: Cross multiply
    13,992x = 20,987.99 × 9,596.13
  4. Step 4: Simplify right side
    13,992x = 201,403,432.50
  5. Step 5: Solve for x
    x = 201,403,432.50/13,992
  6. Step 6: Final answer
    x = 14,394.18

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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.