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Finding the Fourth Proportional to 22,314.77, 33,477.50 and 6,520.07

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Solution

The fourth proportional to 22,314.77, 33,477.50 and 6,520.07 is: 9,781.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314.77 : 33,477.50 = 6,520.07 : x
  2. Step 2: Convert to fraction form
    22,314.77/33,477.50 = 6,520.07/x
  3. Step 3: Cross multiply
    22,314.77x = 33,477.50 × 6,520.07
  4. Step 4: Simplify right side
    22,314.77x = 218,275,649.26
  5. Step 5: Solve for x
    x = 218,275,649.26/22,314.77
  6. Step 6: Final answer
    x = 9,781.67

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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.