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Finding the Fourth Proportional to 24,741.47, 37,112.23 and 6,021.50

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Solution

The fourth proportional to 24,741.47, 37,112.23 and 6,021.50 is: 9,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,741.47 : 37,112.23 = 6,021.50 : x
  2. Step 2: Convert to fraction form
    24,741.47/37,112.23 = 6,021.50/x
  3. Step 3: Cross multiply
    24,741.47x = 37,112.23 × 6,021.50
  4. Step 4: Simplify right side
    24,741.47x = 223,471,370.67
  5. Step 5: Solve for x
    x = 223,471,370.67/24,741.47
  6. Step 6: Final answer
    x = 9,032.26

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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.