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Finding the Fourth Proportional to 20,242.50, 30,363.69 and 15,570.84

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Solution

The fourth proportional to 20,242.50, 30,363.69 and 15,570.84 is: 23,356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242.50 : 30,363.69 = 15,570.84 : x
  2. Step 2: Convert to fraction form
    20,242.50/30,363.69 = 15,570.84/x
  3. Step 3: Cross multiply
    20,242.50x = 30,363.69 × 15,570.84
  4. Step 4: Simplify right side
    20,242.50x = 472,788,158.80
  5. Step 5: Solve for x
    x = 472,788,158.80/20,242.50
  6. Step 6: Final answer
    x = 23,356.21

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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.