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Finding the Fourth Proportional to 21,727.72, 32,597.04 and 6,145.34

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Solution

The fourth proportional to 21,727.72, 32,597.04 and 6,145.34 is: 9,219.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,727.72 : 32,597.04 = 6,145.34 : x
  2. Step 2: Convert to fraction form
    21,727.72/32,597.04 = 6,145.34/x
  3. Step 3: Cross multiply
    21,727.72x = 32,597.04 × 6,145.34
  4. Step 4: Simplify right side
    21,727.72x = 200,319,893.79
  5. Step 5: Solve for x
    x = 200,319,893.79/21,727.72
  6. Step 6: Final answer
    x = 9,219.55

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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.