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Finding the Fourth Proportional to 24,756, 34,165.08 and 14,145.39

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Solution

The fourth proportional to 24,756, 34,165.08 and 14,145.39 is: 19,521.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,756 : 34,165.08 = 14,145.39 : x
  2. Step 2: Convert to fraction form
    24,756/34,165.08 = 14,145.39/x
  3. Step 3: Cross multiply
    24,756x = 34,165.08 × 14,145.39
  4. Step 4: Simplify right side
    24,756x = 483,278,380.98
  5. Step 5: Solve for x
    x = 483,278,380.98/24,756
  6. Step 6: Final answer
    x = 19,521.67

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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.