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Finding the Fourth Proportional to 23,957.28, 35,931.08 and 6,423.04

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Solution

The fourth proportional to 23,957.28, 35,931.08 and 6,423.04 is: 9,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,957.28 : 35,931.08 = 6,423.04 : x
  2. Step 2: Convert to fraction form
    23,957.28/35,931.08 = 6,423.04/x
  3. Step 3: Cross multiply
    23,957.28x = 35,931.08 × 6,423.04
  4. Step 4: Simplify right side
    23,957.28x = 230,786,764.08
  5. Step 5: Solve for x
    x = 230,786,764.08/23,957.28
  6. Step 6: Final answer
    x = 9,633.26

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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.