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Finding the Fourth Proportional to 21,532, 32,297.72 and 7,491.76

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Solution

The fourth proportional to 21,532, 32,297.72 and 7,491.76 is: 11,237.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532 : 32,297.72 = 7,491.76 : x
  2. Step 2: Convert to fraction form
    21,532/32,297.72 = 7,491.76/x
  3. Step 3: Cross multiply
    21,532x = 32,297.72 × 7,491.76
  4. Step 4: Simplify right side
    21,532x = 241,966,766.79
  5. Step 5: Solve for x
    x = 241,966,766.79/21,532
  6. Step 6: Final answer
    x = 11,237.54

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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.