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Finding the Fourth Proportional to 23,447.92, 32,358.12 and 12,838.24

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Solution

The fourth proportional to 23,447.92, 32,358.12 and 12,838.24 is: 17,716.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,447.92 : 32,358.12 = 12,838.24 : x
  2. Step 2: Convert to fraction form
    23,447.92/32,358.12 = 12,838.24/x
  3. Step 3: Cross multiply
    23,447.92x = 32,358.12 × 12,838.24
  4. Step 4: Simplify right side
    23,447.92x = 415,421,310.51
  5. Step 5: Solve for x
    x = 415,421,310.51/23,447.92
  6. Step 6: Final answer
    x = 17,716.77

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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.