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Finding the Fourth Proportional to 22,675.74, 31,297.77 and 13,249.77

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Solution

The fourth proportional to 22,675.74, 31,297.77 and 13,249.77 is: 18,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,675.74 : 31,297.77 = 13,249.77 : x
  2. Step 2: Convert to fraction form
    22,675.74/31,297.77 = 13,249.77/x
  3. Step 3: Cross multiply
    22,675.74x = 31,297.77 × 13,249.77
  4. Step 4: Simplify right side
    22,675.74x = 414,688,254.01
  5. Step 5: Solve for x
    x = 414,688,254.01/22,675.74
  6. Step 6: Final answer
    x = 18,287.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.