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Finding the Fourth Proportional to 23,447.64, 32,357.78 and 12,837.94

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Solution

The fourth proportional to 23,447.64, 32,357.78 and 12,837.94 is: 17,716.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,447.64 : 32,357.78 = 12,837.94 : x
  2. Step 2: Convert to fraction form
    23,447.64/32,357.78 = 12,837.94/x
  3. Step 3: Cross multiply
    23,447.64x = 32,357.78 × 12,837.94
  4. Step 4: Simplify right side
    23,447.64x = 415,407,238.17
  5. Step 5: Solve for x
    x = 415,407,238.17/23,447.64
  6. Step 6: Final answer
    x = 17,716.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.