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Finding the Fourth Proportional to 23,891.51, 35,837.13 and 8,309

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Solution

The fourth proportional to 23,891.51, 35,837.13 and 8,309 is: 12,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,891.51 : 35,837.13 = 8,309 : x
  2. Step 2: Convert to fraction form
    23,891.51/35,837.13 = 8,309/x
  3. Step 3: Cross multiply
    23,891.51x = 35,837.13 × 8,309
  4. Step 4: Simplify right side
    23,891.51x = 297,770,713.17
  5. Step 5: Solve for x
    x = 297,770,713.17/23,891.51
  6. Step 6: Final answer
    x = 12,463.45

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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.