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Finding the Fourth Proportional to 15,212.25, 20,994.75 and 9,911.52

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Solution

The fourth proportional to 15,212.25, 20,994.75 and 9,911.52 is: 13,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,212.25 : 20,994.75 = 9,911.52 : x
  2. Step 2: Convert to fraction form
    15,212.25/20,994.75 = 9,911.52/x
  3. Step 3: Cross multiply
    15,212.25x = 20,994.75 × 9,911.52
  4. Step 4: Simplify right side
    15,212.25x = 208,089,884.52
  5. Step 5: Solve for x
    x = 208,089,884.52/15,212.25
  6. Step 6: Final answer
    x = 13,679.10

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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.