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Finding the Fourth Proportional to 20,335.34, 30,506.04 and 6,296.63

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Solution

The fourth proportional to 20,335.34, 30,506.04 and 6,296.63 is: 9,445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,335.34 : 30,506.04 = 6,296.63 : x
  2. Step 2: Convert to fraction form
    20,335.34/30,506.04 = 6,296.63/x
  3. Step 3: Cross multiply
    20,335.34x = 30,506.04 × 6,296.63
  4. Step 4: Simplify right side
    20,335.34x = 192,085,094.12
  5. Step 5: Solve for x
    x = 192,085,094.12/20,335.34
  6. Step 6: Final answer
    x = 9,445.88

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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.