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Finding the Fourth Proportional to 23,366.67, 32,249.51 and 14,297.23

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Solution

The fourth proportional to 23,366.67, 32,249.51 and 14,297.23 is: 19,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,366.67 : 32,249.51 = 14,297.23 : x
  2. Step 2: Convert to fraction form
    23,366.67/32,249.51 = 14,297.23/x
  3. Step 3: Cross multiply
    23,366.67x = 32,249.51 × 14,297.23
  4. Step 4: Simplify right side
    23,366.67x = 461,078,661.86
  5. Step 5: Solve for x
    x = 461,078,661.86/23,366.67
  6. Step 6: Final answer
    x = 19,732.32

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Why These Related Problems?

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