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Finding the Fourth Proportional to 20,046.34, 30,058.32 and 8,208.40

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Solution

The fourth proportional to 20,046.34, 30,058.32 and 8,208.40 is: 12,308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,046.34 : 30,058.32 = 8,208.40 : x
  2. Step 2: Convert to fraction form
    20,046.34/30,058.32 = 8,208.40/x
  3. Step 3: Cross multiply
    20,046.34x = 30,058.32 × 8,208.40
  4. Step 4: Simplify right side
    20,046.34x = 246,730,713.89
  5. Step 5: Solve for x
    x = 246,730,713.89/20,046.34
  6. Step 6: Final answer
    x = 12,308.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.