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Finding the Fourth Proportional to 23,333.91, 32,200.09 and 12,723.75

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Solution

The fourth proportional to 23,333.91, 32,200.09 and 12,723.75 is: 17,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,333.91 : 32,200.09 = 12,723.75 : x
  2. Step 2: Convert to fraction form
    23,333.91/32,200.09 = 12,723.75/x
  3. Step 3: Cross multiply
    23,333.91x = 32,200.09 × 12,723.75
  4. Step 4: Simplify right side
    23,333.91x = 409,705,895.14
  5. Step 5: Solve for x
    x = 409,705,895.14/23,333.91
  6. Step 6: Final answer
    x = 17,558.39

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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.