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Finding the Fourth Proportional to 24,777.38, 34,194.47 and 14,022.26

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Solution

The fourth proportional to 24,777.38, 34,194.47 and 14,022.26 is: 19,351.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,777.38 : 34,194.47 = 14,022.26 : x
  2. Step 2: Convert to fraction form
    24,777.38/34,194.47 = 14,022.26/x
  3. Step 3: Cross multiply
    24,777.38x = 34,194.47 × 14,022.26
  4. Step 4: Simplify right side
    24,777.38x = 479,483,748.90
  5. Step 5: Solve for x
    x = 479,483,748.90/24,777.38
  6. Step 6: Final answer
    x = 19,351.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.