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Finding the Fourth Proportional to 23,480.72, 32,418.24 and 16,424

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Solution

The fourth proportional to 23,480.72, 32,418.24 and 16,424 is: 22,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,480.72 : 32,418.24 = 16,424 : x
  2. Step 2: Convert to fraction form
    23,480.72/32,418.24 = 16,424/x
  3. Step 3: Cross multiply
    23,480.72x = 32,418.24 × 16,424
  4. Step 4: Simplify right side
    23,480.72x = 532,437,173.76
  5. Step 5: Solve for x
    x = 532,437,173.76/23,480.72
  6. Step 6: Final answer
    x = 22,675.50

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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.