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Finding the Fourth Proportional to 16,812.64, 23,196.27 and 9,737.70

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Solution

The fourth proportional to 16,812.64, 23,196.27 and 9,737.70 is: 13,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,812.64 : 23,196.27 = 9,737.70 : x
  2. Step 2: Convert to fraction form
    16,812.64/23,196.27 = 9,737.70/x
  3. Step 3: Cross multiply
    16,812.64x = 23,196.27 × 9,737.70
  4. Step 4: Simplify right side
    16,812.64x = 225,878,318.38
  5. Step 5: Solve for x
    x = 225,878,318.38/16,812.64
  6. Step 6: Final answer
    x = 13,435.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.