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Finding the Fourth Proportional to 24,777.70, 34,192.64 and 13,446.71

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Solution

The fourth proportional to 24,777.70, 34,192.64 and 13,446.71 is: 18,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,777.70 : 34,192.64 = 13,446.71 : x
  2. Step 2: Convert to fraction form
    24,777.70/34,192.64 = 13,446.71/x
  3. Step 3: Cross multiply
    24,777.70x = 34,192.64 × 13,446.71
  4. Step 4: Simplify right side
    24,777.70x = 459,778,446.98
  5. Step 5: Solve for x
    x = 459,778,446.98/24,777.70
  6. Step 6: Final answer
    x = 18,556.14

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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.