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Finding the Fourth Proportional to 14,268.56, 19,688.92 and 7,894.31

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Solution

The fourth proportional to 14,268.56, 19,688.92 and 7,894.31 is: 10,893.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,268.56 : 19,688.92 = 7,894.31 : x
  2. Step 2: Convert to fraction form
    14,268.56/19,688.92 = 7,894.31/x
  3. Step 3: Cross multiply
    14,268.56x = 19,688.92 × 7,894.31
  4. Step 4: Simplify right side
    14,268.56x = 155,430,401.19
  5. Step 5: Solve for x
    x = 155,430,401.19/14,268.56
  6. Step 6: Final answer
    x = 10,893.21

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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.