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Finding the Fourth Proportional to 23,957.83, 35,936.76 and 9,171.28

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Solution

The fourth proportional to 23,957.83, 35,936.76 and 9,171.28 is: 13,756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,957.83 : 35,936.76 = 9,171.28 : x
  2. Step 2: Convert to fraction form
    23,957.83/35,936.76 = 9,171.28/x
  3. Step 3: Cross multiply
    23,957.83x = 35,936.76 × 9,171.28
  4. Step 4: Simplify right side
    23,957.83x = 329,586,088.25
  5. Step 5: Solve for x
    x = 329,586,088.25/23,957.83
  6. Step 6: Final answer
    x = 13,756.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.