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Finding the Fourth Proportional to 20,035.52, 30,056.01 and 8,346

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Solution

The fourth proportional to 20,035.52, 30,056.01 and 8,346 is: 12,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,035.52 : 30,056.01 = 8,346 : x
  2. Step 2: Convert to fraction form
    20,035.52/30,056.01 = 8,346/x
  3. Step 3: Cross multiply
    20,035.52x = 30,056.01 × 8,346
  4. Step 4: Simplify right side
    20,035.52x = 250,847,428.16
  5. Step 5: Solve for x
    x = 250,847,428.16/20,035.52
  6. Step 6: Final answer
    x = 12,520.14

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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.