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Finding the Fourth Proportional to 20,135.98, 30,207.48 and 7,657.08

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Solution

The fourth proportional to 20,135.98, 30,207.48 and 7,657.08 is: 11,486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,135.98 : 30,207.48 = 7,657.08 : x
  2. Step 2: Convert to fraction form
    20,135.98/30,207.48 = 7,657.08/x
  3. Step 3: Cross multiply
    20,135.98x = 30,207.48 × 7,657.08
  4. Step 4: Simplify right side
    20,135.98x = 231,301,090.96
  5. Step 5: Solve for x
    x = 231,301,090.96/20,135.98
  6. Step 6: Final answer
    x = 11,486.95

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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.