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Finding the Fourth Proportional to 21,377.28, 32,076.16 and 7,532.80

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Solution

The fourth proportional to 21,377.28, 32,076.16 and 7,532.80 is: 11,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,377.28 : 32,076.16 = 7,532.80 : x
  2. Step 2: Convert to fraction form
    21,377.28/32,076.16 = 7,532.80/x
  3. Step 3: Cross multiply
    21,377.28x = 32,076.16 × 7,532.80
  4. Step 4: Simplify right side
    21,377.28x = 241,623,298.05
  5. Step 5: Solve for x
    x = 241,623,298.05/21,377.28
  6. Step 6: Final answer
    x = 11,302.81

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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.