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Finding the Fourth Proportional to 20,509.25, 30,762.34 and 6,469.74

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Solution

The fourth proportional to 20,509.25, 30,762.34 and 6,469.74 is: 9,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509.25 : 30,762.34 = 6,469.74 : x
  2. Step 2: Convert to fraction form
    20,509.25/30,762.34 = 6,469.74/x
  3. Step 3: Cross multiply
    20,509.25x = 30,762.34 × 6,469.74
  4. Step 4: Simplify right side
    20,509.25x = 199,024,341.59
  5. Step 5: Solve for x
    x = 199,024,341.59/20,509.25
  6. Step 6: Final answer
    x = 9,704.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.