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Finding the Fourth Proportional to 23,686.43, 35,541.99 and 9,656.82

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Solution

The fourth proportional to 23,686.43, 35,541.99 and 9,656.82 is: 14,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,686.43 : 35,541.99 = 9,656.82 : x
  2. Step 2: Convert to fraction form
    23,686.43/35,541.99 = 9,656.82/x
  3. Step 3: Cross multiply
    23,686.43x = 35,541.99 × 9,656.82
  4. Step 4: Simplify right side
    23,686.43x = 343,222,599.87
  5. Step 5: Solve for x
    x = 343,222,599.87/23,686.43
  6. Step 6: Final answer
    x = 14,490.27

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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.