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Finding the Fourth Proportional to 21,962.44, 32,945.12 and 7,729.20

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Solution

The fourth proportional to 21,962.44, 32,945.12 and 7,729.20 is: 11,594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,962.44 : 32,945.12 = 7,729.20 : x
  2. Step 2: Convert to fraction form
    21,962.44/32,945.12 = 7,729.20/x
  3. Step 3: Cross multiply
    21,962.44x = 32,945.12 × 7,729.20
  4. Step 4: Simplify right side
    21,962.44x = 254,639,421.50
  5. Step 5: Solve for x
    x = 254,639,421.50/21,962.44
  6. Step 6: Final answer
    x = 11,594.31

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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.