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Finding the Fourth Proportional to 21,537.06, 32,305.50 and 5,742.06

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Solution

The fourth proportional to 21,537.06, 32,305.50 and 5,742.06 is: 8,613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537.06 : 32,305.50 = 5,742.06 : x
  2. Step 2: Convert to fraction form
    21,537.06/32,305.50 = 5,742.06/x
  3. Step 3: Cross multiply
    21,537.06x = 32,305.50 × 5,742.06
  4. Step 4: Simplify right side
    21,537.06x = 185,500,119.33
  5. Step 5: Solve for x
    x = 185,500,119.33/21,537.06
  6. Step 6: Final answer
    x = 8,613.07

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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.