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Finding the Fourth Proportional to 21,602.85, 32,396.85 and 10,502.39

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Solution

The fourth proportional to 21,602.85, 32,396.85 and 10,502.39 is: 15,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.85 : 32,396.85 = 10,502.39 : x
  2. Step 2: Convert to fraction form
    21,602.85/32,396.85 = 10,502.39/x
  3. Step 3: Cross multiply
    21,602.85x = 32,396.85 × 10,502.39
  4. Step 4: Simplify right side
    21,602.85x = 340,244,191.49
  5. Step 5: Solve for x
    x = 340,244,191.49/21,602.85
  6. Step 6: Final answer
    x = 15,749.97

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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.