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Finding the Fourth Proportional to 20,827.70, 31,191.48 and 11,916.02

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Solution

The fourth proportional to 20,827.70, 31,191.48 and 11,916.02 is: 17,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827.70 : 31,191.48 = 11,916.02 : x
  2. Step 2: Convert to fraction form
    20,827.70/31,191.48 = 11,916.02/x
  3. Step 3: Cross multiply
    20,827.70x = 31,191.48 × 11,916.02
  4. Step 4: Simplify right side
    20,827.70x = 371,678,299.51
  5. Step 5: Solve for x
    x = 371,678,299.51/20,827.70
  6. Step 6: Final answer
    x = 17,845.38

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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.