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Finding the Fourth Proportional to 23,501.72, 32,434.42 and 12,893.42

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Solution

The fourth proportional to 23,501.72, 32,434.42 and 12,893.42 is: 17,794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,501.72 : 32,434.42 = 12,893.42 : x
  2. Step 2: Convert to fraction form
    23,501.72/32,434.42 = 12,893.42/x
  3. Step 3: Cross multiply
    23,501.72x = 32,434.42 × 12,893.42
  4. Step 4: Simplify right side
    23,501.72x = 418,190,599.52
  5. Step 5: Solve for x
    x = 418,190,599.52/23,501.72
  6. Step 6: Final answer
    x = 17,794.04

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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.