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Finding the Fourth Proportional to 16,205.86, 22,371.56 and 9,490.56

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Solution

The fourth proportional to 16,205.86, 22,371.56 and 9,490.56 is: 13,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.86 : 22,371.56 = 9,490.56 : x
  2. Step 2: Convert to fraction form
    16,205.86/22,371.56 = 9,490.56/x
  3. Step 3: Cross multiply
    16,205.86x = 22,371.56 × 9,490.56
  4. Step 4: Simplify right side
    16,205.86x = 212,318,632.47
  5. Step 5: Solve for x
    x = 212,318,632.47/16,205.86
  6. Step 6: Final answer
    x = 13,101.35

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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.