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Finding the Fourth Proportional to 22,840.30, 34,256.40 and 6,201.64

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Solution

The fourth proportional to 22,840.30, 34,256.40 and 6,201.64 is: 9,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,840.30 : 34,256.40 = 6,201.64 : x
  2. Step 2: Convert to fraction form
    22,840.30/34,256.40 = 6,201.64/x
  3. Step 3: Cross multiply
    22,840.30x = 34,256.40 × 6,201.64
  4. Step 4: Simplify right side
    22,840.30x = 212,445,860.50
  5. Step 5: Solve for x
    x = 212,445,860.50/22,840.30
  6. Step 6: Final answer
    x = 9,301.36

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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.