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Finding the Fourth Proportional to 24,594.50, 33,940.41 and 13,416.50

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Solution

The fourth proportional to 24,594.50, 33,940.41 and 13,416.50 is: 18,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,594.50 : 33,940.41 = 13,416.50 : x
  2. Step 2: Convert to fraction form
    24,594.50/33,940.41 = 13,416.50/x
  3. Step 3: Cross multiply
    24,594.50x = 33,940.41 × 13,416.50
  4. Step 4: Simplify right side
    24,594.50x = 455,361,510.77
  5. Step 5: Solve for x
    x = 455,361,510.77/24,594.50
  6. Step 6: Final answer
    x = 18,514.77

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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.