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Finding the Fourth Proportional to 30,254.85, 41,747.76 and 16,823.43

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Solution

The fourth proportional to 30,254.85, 41,747.76 and 16,823.43 is: 23,214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,254.85 : 41,747.76 = 16,823.43 : x
  2. Step 2: Convert to fraction form
    30,254.85/41,747.76 = 16,823.43/x
  3. Step 3: Cross multiply
    30,254.85x = 41,747.76 × 16,823.43
  4. Step 4: Simplify right side
    30,254.85x = 702,340,518.02
  5. Step 5: Solve for x
    x = 702,340,518.02/30,254.85
  6. Step 6: Final answer
    x = 23,214.15

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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.