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Finding the Fourth Proportional to 29,821.50, 41,154.19 and 16,393.32

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Solution

The fourth proportional to 29,821.50, 41,154.19 and 16,393.32 is: 22,623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821.50 : 41,154.19 = 16,393.32 : x
  2. Step 2: Convert to fraction form
    29,821.50/41,154.19 = 16,393.32/x
  3. Step 3: Cross multiply
    29,821.50x = 41,154.19 × 16,393.32
  4. Step 4: Simplify right side
    29,821.50x = 674,653,806.01
  5. Step 5: Solve for x
    x = 674,653,806.01/29,821.50
  6. Step 6: Final answer
    x = 22,623.07

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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.