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Finding the Fourth Proportional to 23,951.30, 35,922.08 and 6,417.02

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Solution

The fourth proportional to 23,951.30, 35,922.08 and 6,417.02 is: 9,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,951.30 : 35,922.08 = 6,417.02 : x
  2. Step 2: Convert to fraction form
    23,951.30/35,922.08 = 6,417.02/x
  3. Step 3: Cross multiply
    23,951.30x = 35,922.08 × 6,417.02
  4. Step 4: Simplify right side
    23,951.30x = 230,512,811.65
  5. Step 5: Solve for x
    x = 230,512,811.65/23,951.30
  6. Step 6: Final answer
    x = 9,624.23

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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.