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Finding the Fourth Proportional to 21,575.96, 32,371.71 and 7,538.05

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Solution

The fourth proportional to 21,575.96, 32,371.71 and 7,538.05 is: 11,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,575.96 : 32,371.71 = 7,538.05 : x
  2. Step 2: Convert to fraction form
    21,575.96/32,371.71 = 7,538.05/x
  3. Step 3: Cross multiply
    21,575.96x = 32,371.71 × 7,538.05
  4. Step 4: Simplify right side
    21,575.96x = 244,019,580.76
  5. Step 5: Solve for x
    x = 244,019,580.76/21,575.96
  6. Step 6: Final answer
    x = 11,309.79

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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.