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Finding the Fourth Proportional to 24,853.67, 34,297.03 and 13,523.21

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Solution

The fourth proportional to 24,853.67, 34,297.03 and 13,523.21 is: 18,661.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,853.67 : 34,297.03 = 13,523.21 : x
  2. Step 2: Convert to fraction form
    24,853.67/34,297.03 = 13,523.21/x
  3. Step 3: Cross multiply
    24,853.67x = 34,297.03 × 13,523.21
  4. Step 4: Simplify right side
    24,853.67x = 463,805,939.07
  5. Step 5: Solve for x
    x = 463,805,939.07/24,853.67
  6. Step 6: Final answer
    x = 18,661.47

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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.