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Finding the Fourth Proportional to 20,155.50, 30,230.01 and 14,294.34

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Solution

The fourth proportional to 20,155.50, 30,230.01 and 14,294.34 is: 21,439.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,155.50 : 30,230.01 = 14,294.34 : x
  2. Step 2: Convert to fraction form
    20,155.50/30,230.01 = 14,294.34/x
  3. Step 3: Cross multiply
    20,155.50x = 30,230.01 × 14,294.34
  4. Step 4: Simplify right side
    20,155.50x = 432,118,041.14
  5. Step 5: Solve for x
    x = 432,118,041.14/20,155.50
  6. Step 6: Final answer
    x = 21,439.21

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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.