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Finding the Fourth Proportional to 16,111.82, 22,234.70 and 9,038.76

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Solution

The fourth proportional to 16,111.82, 22,234.70 and 9,038.76 is: 12,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,111.82 : 22,234.70 = 9,038.76 : x
  2. Step 2: Convert to fraction form
    16,111.82/22,234.70 = 9,038.76/x
  3. Step 3: Cross multiply
    16,111.82x = 22,234.70 × 9,038.76
  4. Step 4: Simplify right side
    16,111.82x = 200,974,116.97
  5. Step 5: Solve for x
    x = 200,974,116.97/16,111.82
  6. Step 6: Final answer
    x = 12,473.71

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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.