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Finding the Fourth Proportional to 23,767.76, 35,646.24 and 10,613

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Solution

The fourth proportional to 23,767.76, 35,646.24 and 10,613 is: 15,917.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,767.76 : 35,646.24 = 10,613 : x
  2. Step 2: Convert to fraction form
    23,767.76/35,646.24 = 10,613/x
  3. Step 3: Cross multiply
    23,767.76x = 35,646.24 × 10,613
  4. Step 4: Simplify right side
    23,767.76x = 378,313,545.12
  5. Step 5: Solve for x
    x = 378,313,545.12/23,767.76
  6. Step 6: Final answer
    x = 15,917.09

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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.