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Finding the Fourth Proportional to 13,458.96, 20,191.82 and 7,916.94

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Solution

The fourth proportional to 13,458.96, 20,191.82 and 7,916.94 is: 11,877.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.96 : 20,191.82 = 7,916.94 : x
  2. Step 2: Convert to fraction form
    13,458.96/20,191.82 = 7,916.94/x
  3. Step 3: Cross multiply
    13,458.96x = 20,191.82 × 7,916.94
  4. Step 4: Simplify right side
    13,458.96x = 159,857,387.85
  5. Step 5: Solve for x
    x = 159,857,387.85/13,458.96
  6. Step 6: Final answer
    x = 11,877.40

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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.