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Finding the Fourth Proportional to 24,755.34, 37,142.74 and 10,894.62

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Solution

The fourth proportional to 24,755.34, 37,142.74 and 10,894.62 is: 16,346.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,755.34 : 37,142.74 = 10,894.62 : x
  2. Step 2: Convert to fraction form
    24,755.34/37,142.74 = 10,894.62/x
  3. Step 3: Cross multiply
    24,755.34x = 37,142.74 × 10,894.62
  4. Step 4: Simplify right side
    24,755.34x = 404,656,038.06
  5. Step 5: Solve for x
    x = 404,656,038.06/24,755.34
  6. Step 6: Final answer
    x = 16,346.21

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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.