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Finding the Fourth Proportional to 19,971.43, 29,961.76 and 5,931.15

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Solution

The fourth proportional to 19,971.43, 29,961.76 and 5,931.15 is: 8,898.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,971.43 : 29,961.76 = 5,931.15 : x
  2. Step 2: Convert to fraction form
    19,971.43/29,961.76 = 5,931.15/x
  3. Step 3: Cross multiply
    19,971.43x = 29,961.76 × 5,931.15
  4. Step 4: Simplify right side
    19,971.43x = 177,707,692.82
  5. Step 5: Solve for x
    x = 177,707,692.82/19,971.43
  6. Step 6: Final answer
    x = 8,898.10

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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.