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Finding the Fourth Proportional to 16,112.10, 22,231.62 and 9,737.40

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Solution

The fourth proportional to 16,112.10, 22,231.62 and 9,737.40 is: 13,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,112.10 : 22,231.62 = 9,737.40 : x
  2. Step 2: Convert to fraction form
    16,112.10/22,231.62 = 9,737.40/x
  3. Step 3: Cross multiply
    16,112.10x = 22,231.62 × 9,737.40
  4. Step 4: Simplify right side
    16,112.10x = 216,478,176.59
  5. Step 5: Solve for x
    x = 216,478,176.59/16,112.10
  6. Step 6: Final answer
    x = 13,435.75

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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.