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Finding the Fourth Proportional to 24,697.91, 37,020.29 and 10,664.54

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Solution

The fourth proportional to 24,697.91, 37,020.29 and 10,664.54 is: 15,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.91 : 37,020.29 = 10,664.54 : x
  2. Step 2: Convert to fraction form
    24,697.91/37,020.29 = 10,664.54/x
  3. Step 3: Cross multiply
    24,697.91x = 37,020.29 × 10,664.54
  4. Step 4: Simplify right side
    24,697.91x = 394,804,402.74
  5. Step 5: Solve for x
    x = 394,804,402.74/24,697.91
  6. Step 6: Final answer
    x = 15,985.34

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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.