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Finding the Fourth Proportional to 12,874.76, 19,308.65 and 4,553.67

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Solution

The fourth proportional to 12,874.76, 19,308.65 and 4,553.67 is: 6,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.76 : 19,308.65 = 4,553.67 : x
  2. Step 2: Convert to fraction form
    12,874.76/19,308.65 = 4,553.67/x
  3. Step 3: Cross multiply
    12,874.76x = 19,308.65 × 4,553.67
  4. Step 4: Simplify right side
    12,874.76x = 87,925,197.48
  5. Step 5: Solve for x
    x = 87,925,197.48/12,874.76
  6. Step 6: Final answer
    x = 6,829.27

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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.