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Finding the Fourth Proportional to 13,691.09, 18,893.70 and 7,403.46

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Solution

The fourth proportional to 13,691.09, 18,893.70 and 7,403.46 is: 10,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.09 : 18,893.70 = 7,403.46 : x
  2. Step 2: Convert to fraction form
    13,691.09/18,893.70 = 7,403.46/x
  3. Step 3: Cross multiply
    13,691.09x = 18,893.70 × 7,403.46
  4. Step 4: Simplify right side
    13,691.09x = 139,878,733.69
  5. Step 5: Solve for x
    x = 139,878,733.69/13,691.09
  6. Step 6: Final answer
    x = 10,216.77

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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.