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Finding the Fourth Proportional to 16,228.36, 22,394.82 and 9,156.28

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Solution

The fourth proportional to 16,228.36, 22,394.82 and 9,156.28 is: 12,635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.36 : 22,394.82 = 9,156.28 : x
  2. Step 2: Convert to fraction form
    16,228.36/22,394.82 = 9,156.28/x
  3. Step 3: Cross multiply
    16,228.36x = 22,394.82 × 9,156.28
  4. Step 4: Simplify right side
    16,228.36x = 205,053,242.47
  5. Step 5: Solve for x
    x = 205,053,242.47/16,228.36
  6. Step 6: Final answer
    x = 12,635.49

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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.