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Finding the Fourth Proportional to 20,053.96, 30,080.34 and 9,531.58

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Solution

The fourth proportional to 20,053.96, 30,080.34 and 9,531.58 is: 14,297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,053.96 : 30,080.34 = 9,531.58 : x
  2. Step 2: Convert to fraction form
    20,053.96/30,080.34 = 9,531.58/x
  3. Step 3: Cross multiply
    20,053.96x = 30,080.34 × 9,531.58
  4. Step 4: Simplify right side
    20,053.96x = 286,713,167.14
  5. Step 5: Solve for x
    x = 286,713,167.14/20,053.96
  6. Step 6: Final answer
    x = 14,297.08

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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.