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Finding the Fourth Proportional to 13,707.84, 20,514.24 and 8,440.50

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Solution

The fourth proportional to 13,707.84, 20,514.24 and 8,440.50 is: 12,631.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.84 : 20,514.24 = 8,440.50 : x
  2. Step 2: Convert to fraction form
    13,707.84/20,514.24 = 8,440.50/x
  3. Step 3: Cross multiply
    13,707.84x = 20,514.24 × 8,440.50
  4. Step 4: Simplify right side
    13,707.84x = 173,150,442.72
  5. Step 5: Solve for x
    x = 173,150,442.72/13,707.84
  6. Step 6: Final answer
    x = 12,631.49

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Why These Related Problems?

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