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Finding the Fourth Proportional to 13,884.96, 19,161.27 and 7,916.47

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Solution

The fourth proportional to 13,884.96, 19,161.27 and 7,916.47 is: 10,924.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.96 : 19,161.27 = 7,916.47 : x
  2. Step 2: Convert to fraction form
    13,884.96/19,161.27 = 7,916.47/x
  3. Step 3: Cross multiply
    13,884.96x = 19,161.27 × 7,916.47
  4. Step 4: Simplify right side
    13,884.96x = 151,689,619.12
  5. Step 5: Solve for x
    x = 151,689,619.12/13,884.96
  6. Step 6: Final answer
    x = 10,924.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.