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Finding the Fourth Proportional to 24,448.26, 36,674.34 and 7,810.63

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Solution

The fourth proportional to 24,448.26, 36,674.34 and 7,810.63 is: 11,716.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,448.26 : 36,674.34 = 7,810.63 : x
  2. Step 2: Convert to fraction form
    24,448.26/36,674.34 = 7,810.63/x
  3. Step 3: Cross multiply
    24,448.26x = 36,674.34 × 7,810.63
  4. Step 4: Simplify right side
    24,448.26x = 286,449,700.23
  5. Step 5: Solve for x
    x = 286,449,700.23/24,448.26
  6. Step 6: Final answer
    x = 11,716.57

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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.