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Finding the Fourth Proportional to 23,164.65, 34,746.71 and 5,634.63

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Solution

The fourth proportional to 23,164.65, 34,746.71 and 5,634.63 is: 8,451.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164.65 : 34,746.71 = 5,634.63 : x
  2. Step 2: Convert to fraction form
    23,164.65/34,746.71 = 5,634.63/x
  3. Step 3: Cross multiply
    23,164.65x = 34,746.71 × 5,634.63
  4. Step 4: Simplify right side
    23,164.65x = 195,784,826.39
  5. Step 5: Solve for x
    x = 195,784,826.39/23,164.65
  6. Step 6: Final answer
    x = 8,451.88

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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.