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Finding the Fourth Proportional to 20,005.60, 30,008.40 and 5,215

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Solution

The fourth proportional to 20,005.60, 30,008.40 and 5,215 is: 7,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.60 : 30,008.40 = 5,215 : x
  2. Step 2: Convert to fraction form
    20,005.60/30,008.40 = 5,215/x
  3. Step 3: Cross multiply
    20,005.60x = 30,008.40 × 5,215
  4. Step 4: Simplify right side
    20,005.60x = 156,493,806
  5. Step 5: Solve for x
    x = 156,493,806/20,005.60
  6. Step 6: Final answer
    x = 7,822.50

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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.