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Finding the Fourth Proportional to 13,691.25, 18,893.93 and 7,403.63

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Solution

The fourth proportional to 13,691.25, 18,893.93 and 7,403.63 is: 10,217.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.25 : 18,893.93 = 7,403.63 : x
  2. Step 2: Convert to fraction form
    13,691.25/18,893.93 = 7,403.63/x
  3. Step 3: Cross multiply
    13,691.25x = 18,893.93 × 7,403.63
  4. Step 4: Simplify right side
    13,691.25x = 139,883,535.48
  5. Step 5: Solve for x
    x = 139,883,535.48/13,691.25
  6. Step 6: Final answer
    x = 10,217.00

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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.