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Finding the Fourth Proportional to 21,191.94, 31,792.02 and 8,053.56

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Solution

The fourth proportional to 21,191.94, 31,792.02 and 8,053.56 is: 12,081.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,191.94 : 31,792.02 = 8,053.56 : x
  2. Step 2: Convert to fraction form
    21,191.94/31,792.02 = 8,053.56/x
  3. Step 3: Cross multiply
    21,191.94x = 31,792.02 × 8,053.56
  4. Step 4: Simplify right side
    21,191.94x = 256,038,940.59
  5. Step 5: Solve for x
    x = 256,038,940.59/21,191.94
  6. Step 6: Final answer
    x = 12,081.90

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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.