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Finding the Fourth Proportional to 20,962.90, 31,442.91 and 7,809.22

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Solution

The fourth proportional to 20,962.90, 31,442.91 and 7,809.22 is: 11,713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,962.90 : 31,442.91 = 7,809.22 : x
  2. Step 2: Convert to fraction form
    20,962.90/31,442.91 = 7,809.22/x
  3. Step 3: Cross multiply
    20,962.90x = 31,442.91 × 7,809.22
  4. Step 4: Simplify right side
    20,962.90x = 245,544,601.63
  5. Step 5: Solve for x
    x = 245,544,601.63/20,962.90
  6. Step 6: Final answer
    x = 11,713.29

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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.