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Finding the Fourth Proportional to 29,398.52, 40,573.50 and 16,823

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Solution

The fourth proportional to 29,398.52, 40,573.50 and 16,823 is: 23,217.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,398.52 : 40,573.50 = 16,823 : x
  2. Step 2: Convert to fraction form
    29,398.52/40,573.50 = 16,823/x
  3. Step 3: Cross multiply
    29,398.52x = 40,573.50 × 16,823
  4. Step 4: Simplify right side
    29,398.52x = 682,567,990.50
  5. Step 5: Solve for x
    x = 682,567,990.50/29,398.52
  6. Step 6: Final answer
    x = 23,217.77

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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.