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Finding the Fourth Proportional to 21,397.28, 32,099.34 and 7,355.84

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Solution

The fourth proportional to 21,397.28, 32,099.34 and 7,355.84 is: 11,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,397.28 : 32,099.34 = 7,355.84 : x
  2. Step 2: Convert to fraction form
    21,397.28/32,099.34 = 7,355.84/x
  3. Step 3: Cross multiply
    21,397.28x = 32,099.34 × 7,355.84
  4. Step 4: Simplify right side
    21,397.28x = 236,117,609.15
  5. Step 5: Solve for x
    x = 236,117,609.15/21,397.28
  6. Step 6: Final answer
    x = 11,034.94

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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.