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Finding the Fourth Proportional to 23,416, 32,314.62 and 14,469.64

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Solution

The fourth proportional to 23,416, 32,314.62 and 14,469.64 is: 19,968.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416 : 32,314.62 = 14,469.64 : x
  2. Step 2: Convert to fraction form
    23,416/32,314.62 = 14,469.64/x
  3. Step 3: Cross multiply
    23,416x = 32,314.62 × 14,469.64
  4. Step 4: Simplify right side
    23,416x = 467,580,918.14
  5. Step 5: Solve for x
    x = 467,580,918.14/23,416
  6. Step 6: Final answer
    x = 19,968.44

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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.