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Finding the Fourth Proportional to 13,315.50, 19,987.06 and 9,809.44

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Solution

The fourth proportional to 13,315.50, 19,987.06 and 9,809.44 is: 14,724.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,315.50 : 19,987.06 = 9,809.44 : x
  2. Step 2: Convert to fraction form
    13,315.50/19,987.06 = 9,809.44/x
  3. Step 3: Cross multiply
    13,315.50x = 19,987.06 × 9,809.44
  4. Step 4: Simplify right side
    13,315.50x = 196,061,865.85
  5. Step 5: Solve for x
    x = 196,061,865.85/13,315.50
  6. Step 6: Final answer
    x = 14,724.33

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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.