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Finding the Fourth Proportional to 23,249.44, 32,084.88 and 14,302.16

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Solution

The fourth proportional to 23,249.44, 32,084.88 and 14,302.16 is: 19,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,249.44 : 32,084.88 = 14,302.16 : x
  2. Step 2: Convert to fraction form
    23,249.44/32,084.88 = 14,302.16/x
  3. Step 3: Cross multiply
    23,249.44x = 32,084.88 × 14,302.16
  4. Step 4: Simplify right side
    23,249.44x = 458,883,087.34
  5. Step 5: Solve for x
    x = 458,883,087.34/23,249.44
  6. Step 6: Final answer
    x = 19,737.38

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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.