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Finding the Fourth Proportional to 24,812.82, 37,219.15 and 10,021.57

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Solution

The fourth proportional to 24,812.82, 37,219.15 and 10,021.57 is: 15,032.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,812.82 : 37,219.15 = 10,021.57 : x
  2. Step 2: Convert to fraction form
    24,812.82/37,219.15 = 10,021.57/x
  3. Step 3: Cross multiply
    24,812.82x = 37,219.15 × 10,021.57
  4. Step 4: Simplify right side
    24,812.82x = 372,994,317.07
  5. Step 5: Solve for x
    x = 372,994,317.07/24,812.82
  6. Step 6: Final answer
    x = 15,032.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.