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Finding the Fourth Proportional to 16,199.28, 22,368.60 and 10,911.60

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Solution

The fourth proportional to 16,199.28, 22,368.60 and 10,911.60 is: 15,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,199.28 : 22,368.60 = 10,911.60 : x
  2. Step 2: Convert to fraction form
    16,199.28/22,368.60 = 10,911.60/x
  3. Step 3: Cross multiply
    16,199.28x = 22,368.60 × 10,911.60
  4. Step 4: Simplify right side
    16,199.28x = 244,077,215.76
  5. Step 5: Solve for x
    x = 244,077,215.76/16,199.28
  6. Step 6: Final answer
    x = 15,067.16

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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.