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Finding the Fourth Proportional to 13,684.86, 18,885.15 and 7,397.24

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Solution

The fourth proportional to 13,684.86, 18,885.15 and 7,397.24 is: 10,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.86 : 18,885.15 = 7,397.24 : x
  2. Step 2: Convert to fraction form
    13,684.86/18,885.15 = 7,397.24/x
  3. Step 3: Cross multiply
    13,684.86x = 18,885.15 × 7,397.24
  4. Step 4: Simplify right side
    13,684.86x = 139,697,892.56
  5. Step 5: Solve for x
    x = 139,697,892.56/13,684.86
  6. Step 6: Final answer
    x = 10,208.21

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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.