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Finding the Fourth Proportional to 20,393.51, 30,577.96 and 9,146.80

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Solution

The fourth proportional to 20,393.51, 30,577.96 and 9,146.80 is: 13,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,393.51 : 30,577.96 = 9,146.80 : x
  2. Step 2: Convert to fraction form
    20,393.51/30,577.96 = 9,146.80/x
  3. Step 3: Cross multiply
    20,393.51x = 30,577.96 × 9,146.80
  4. Step 4: Simplify right side
    20,393.51x = 279,690,484.53
  5. Step 5: Solve for x
    x = 279,690,484.53/20,393.51
  6. Step 6: Final answer
    x = 13,714.68

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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.