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Finding the Fourth Proportional to 20,537.16, 30,801.06 and 8,053.08

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Solution

The fourth proportional to 20,537.16, 30,801.06 and 8,053.08 is: 12,077.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.16 : 30,801.06 = 8,053.08 : x
  2. Step 2: Convert to fraction form
    20,537.16/30,801.06 = 8,053.08/x
  3. Step 3: Cross multiply
    20,537.16x = 30,801.06 × 8,053.08
  4. Step 4: Simplify right side
    20,537.16x = 248,043,400.26
  5. Step 5: Solve for x
    x = 248,043,400.26/20,537.16
  6. Step 6: Final answer
    x = 12,077.78

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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.