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Finding the Fourth Proportional to 20,900.88, 31,352.22 and 7,746.12

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Solution

The fourth proportional to 20,900.88, 31,352.22 and 7,746.12 is: 11,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,900.88 : 31,352.22 = 7,746.12 : x
  2. Step 2: Convert to fraction form
    20,900.88/31,352.22 = 7,746.12/x
  3. Step 3: Cross multiply
    20,900.88x = 31,352.22 × 7,746.12
  4. Step 4: Simplify right side
    20,900.88x = 242,858,058.39
  5. Step 5: Solve for x
    x = 242,858,058.39/20,900.88
  6. Step 6: Final answer
    x = 11,619.51

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1.5x scale

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.