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Finding the Fourth Proportional to 16,117.27, 22,236.49 and 9,745.81

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Solution

The fourth proportional to 16,117.27, 22,236.49 and 9,745.81 is: 13,445.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,117.27 : 22,236.49 = 9,745.81 : x
  2. Step 2: Convert to fraction form
    16,117.27/22,236.49 = 9,745.81/x
  3. Step 3: Cross multiply
    16,117.27x = 22,236.49 × 9,745.81
  4. Step 4: Simplify right side
    16,117.27x = 216,712,606.61
  5. Step 5: Solve for x
    x = 216,712,606.61/16,117.27
  6. Step 6: Final answer
    x = 13,445.99

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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.