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Finding the Fourth Proportional to 23,354.69, 32,230.25 and 12,744.90

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Solution

The fourth proportional to 23,354.69, 32,230.25 and 12,744.90 is: 17,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,354.69 : 32,230.25 = 12,744.90 : x
  2. Step 2: Convert to fraction form
    23,354.69/32,230.25 = 12,744.90/x
  3. Step 3: Cross multiply
    23,354.69x = 32,230.25 × 12,744.90
  4. Step 4: Simplify right side
    23,354.69x = 410,771,249.50
  5. Step 5: Solve for x
    x = 410,771,249.50/23,354.69
  6. Step 6: Final answer
    x = 17,588.39

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1.5x scale

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.