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Finding the Fourth Proportional to 16,111.90, 22,233.90 and 9,038.44

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Solution

The fourth proportional to 16,111.90, 22,233.90 and 9,038.44 is: 12,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,111.90 : 22,233.90 = 9,038.44 : x
  2. Step 2: Convert to fraction form
    16,111.90/22,233.90 = 9,038.44/x
  3. Step 3: Cross multiply
    16,111.90x = 22,233.90 × 9,038.44
  4. Step 4: Simplify right side
    16,111.90x = 200,959,771.12
  5. Step 5: Solve for x
    x = 200,959,771.12/16,111.90
  6. Step 6: Final answer
    x = 12,472.75

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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.