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Finding the Fourth Proportional to 16,154.28, 22,294.08 and 9,867.84

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Solution

The fourth proportional to 16,154.28, 22,294.08 and 9,867.84 is: 13,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.28 : 22,294.08 = 9,867.84 : x
  2. Step 2: Convert to fraction form
    16,154.28/22,294.08 = 9,867.84/x
  3. Step 3: Cross multiply
    16,154.28x = 22,294.08 × 9,867.84
  4. Step 4: Simplify right side
    16,154.28x = 219,994,414.39
  5. Step 5: Solve for x
    x = 219,994,414.39/16,154.28
  6. Step 6: Final answer
    x = 13,618.34

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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.