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Finding the Fourth Proportional to 23,201.48, 34,802 and 8,410.07

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Solution

The fourth proportional to 23,201.48, 34,802 and 8,410.07 is: 12,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,201.48 : 34,802 = 8,410.07 : x
  2. Step 2: Convert to fraction form
    23,201.48/34,802 = 8,410.07/x
  3. Step 3: Cross multiply
    23,201.48x = 34,802 × 8,410.07
  4. Step 4: Simplify right side
    23,201.48x = 292,687,256.14
  5. Step 5: Solve for x
    x = 292,687,256.14/23,201.48
  6. Step 6: Final answer
    x = 12,615.03

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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.