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Finding the Fourth Proportional to 16,483.28, 22,742.97 and 9,767.75

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Solution

The fourth proportional to 16,483.28, 22,742.97 and 9,767.75 is: 13,477.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.28 : 22,742.97 = 9,767.75 : x
  2. Step 2: Convert to fraction form
    16,483.28/22,742.97 = 9,767.75/x
  3. Step 3: Cross multiply
    16,483.28x = 22,742.97 × 9,767.75
  4. Step 4: Simplify right side
    16,483.28x = 222,147,531.50
  5. Step 5: Solve for x
    x = 222,147,531.50/16,483.28
  6. Step 6: Final answer
    x = 13,477.15

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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.