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Finding the Fourth Proportional to 13,463.86, 20,199.91 and 6,894.69

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Solution

The fourth proportional to 13,463.86, 20,199.91 and 6,894.69 is: 10,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.86 : 20,199.91 = 6,894.69 : x
  2. Step 2: Convert to fraction form
    13,463.86/20,199.91 = 6,894.69/x
  3. Step 3: Cross multiply
    13,463.86x = 20,199.91 × 6,894.69
  4. Step 4: Simplify right side
    13,463.86x = 139,272,117.48
  5. Step 5: Solve for x
    x = 139,272,117.48/13,463.86
  6. Step 6: Final answer
    x = 10,344.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.