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Finding the Fourth Proportional to 23,448.78, 32,359.77 and 12,838.19

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Solution

The fourth proportional to 23,448.78, 32,359.77 and 12,838.19 is: 17,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,448.78 : 32,359.77 = 12,838.19 : x
  2. Step 2: Convert to fraction form
    23,448.78/32,359.77 = 12,838.19/x
  3. Step 3: Cross multiply
    23,448.78x = 32,359.77 × 12,838.19
  4. Step 4: Simplify right side
    23,448.78x = 415,440,713.82
  5. Step 5: Solve for x
    x = 415,440,713.82/23,448.78
  6. Step 6: Final answer
    x = 17,716.94

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