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Finding the Fourth Proportional to 23,493.72, 32,420.28 and 14,067.48

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Solution

The fourth proportional to 23,493.72, 32,420.28 and 14,067.48 is: 19,412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,493.72 : 32,420.28 = 14,067.48 : x
  2. Step 2: Convert to fraction form
    23,493.72/32,420.28 = 14,067.48/x
  3. Step 3: Cross multiply
    23,493.72x = 32,420.28 × 14,067.48
  4. Step 4: Simplify right side
    23,493.72x = 456,071,640.49
  5. Step 5: Solve for x
    x = 456,071,640.49/23,493.72
  6. Step 6: Final answer
    x = 19,412.49

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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.