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Finding the Fourth Proportional to 13,707.39, 18,916.28 and 7,419.77

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Solution

The fourth proportional to 13,707.39, 18,916.28 and 7,419.77 is: 10,239.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.39 : 18,916.28 = 7,419.77 : x
  2. Step 2: Convert to fraction form
    13,707.39/18,916.28 = 7,419.77/x
  3. Step 3: Cross multiply
    13,707.39x = 18,916.28 × 7,419.77
  4. Step 4: Simplify right side
    13,707.39x = 140,354,446.86
  5. Step 5: Solve for x
    x = 140,354,446.86/13,707.39
  6. Step 6: Final answer
    x = 10,239.33

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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.