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Finding the Fourth Proportional to 20,542.60, 30,749.10 and 14,710.60

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Solution

The fourth proportional to 20,542.60, 30,749.10 and 14,710.60 is: 22,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542.60 : 30,749.10 = 14,710.60 : x
  2. Step 2: Convert to fraction form
    20,542.60/30,749.10 = 14,710.60/x
  3. Step 3: Cross multiply
    20,542.60x = 30,749.10 × 14,710.60
  4. Step 4: Simplify right side
    20,542.60x = 452,337,710.46
  5. Step 5: Solve for x
    x = 452,337,710.46/20,542.60
  6. Step 6: Final answer
    x = 22,019.50

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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.