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Finding the Fourth Proportional to 24,450.26, 36,677.34 and 7,812.63

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Solution

The fourth proportional to 24,450.26, 36,677.34 and 7,812.63 is: 11,719.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,450.26 : 36,677.34 = 7,812.63 : x
  2. Step 2: Convert to fraction form
    24,450.26/36,677.34 = 7,812.63/x
  3. Step 3: Cross multiply
    24,450.26x = 36,677.34 × 7,812.63
  4. Step 4: Simplify right side
    24,450.26x = 286,546,486.80
  5. Step 5: Solve for x
    x = 286,546,486.80/24,450.26
  6. Step 6: Final answer
    x = 11,719.57

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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.