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Finding the Fourth Proportional to 20,502.60, 30,746.70 and 9,414.60

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Solution

The fourth proportional to 20,502.60, 30,746.70 and 9,414.60 is: 14,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.60 : 30,746.70 = 9,414.60 : x
  2. Step 2: Convert to fraction form
    20,502.60/30,746.70 = 9,414.60/x
  3. Step 3: Cross multiply
    20,502.60x = 30,746.70 × 9,414.60
  4. Step 4: Simplify right side
    20,502.60x = 289,467,881.82
  5. Step 5: Solve for x
    x = 289,467,881.82/20,502.60
  6. Step 6: Final answer
    x = 14,118.59

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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.