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Finding the Fourth Proportional to 16,111.28, 22,232.06 and 9,036.32

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Solution

The fourth proportional to 16,111.28, 22,232.06 and 9,036.32 is: 12,469.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,111.28 : 22,232.06 = 9,036.32 : x
  2. Step 2: Convert to fraction form
    16,111.28/22,232.06 = 9,036.32/x
  3. Step 3: Cross multiply
    16,111.28x = 22,232.06 × 9,036.32
  4. Step 4: Simplify right side
    16,111.28x = 200,896,008.42
  5. Step 5: Solve for x
    x = 200,896,008.42/16,111.28
  6. Step 6: Final answer
    x = 12,469.28

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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.