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Finding the Fourth Proportional to 23,482.08, 35,227.08 and 7,896

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Solution

The fourth proportional to 23,482.08, 35,227.08 and 7,896 is: 11,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,482.08 : 35,227.08 = 7,896 : x
  2. Step 2: Convert to fraction form
    23,482.08/35,227.08 = 7,896/x
  3. Step 3: Cross multiply
    23,482.08x = 35,227.08 × 7,896
  4. Step 4: Simplify right side
    23,482.08x = 278,153,023.68
  5. Step 5: Solve for x
    x = 278,153,023.68/23,482.08
  6. Step 6: Final answer
    x = 11,845.33

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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.