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Finding the Fourth Proportional to 23,580.77, 32,542.15 and 12,971.09

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Solution

The fourth proportional to 23,580.77, 32,542.15 and 12,971.09 is: 17,900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.77 : 32,542.15 = 12,971.09 : x
  2. Step 2: Convert to fraction form
    23,580.77/32,542.15 = 12,971.09/x
  3. Step 3: Cross multiply
    23,580.77x = 32,542.15 × 12,971.09
  4. Step 4: Simplify right side
    23,580.77x = 422,107,156.44
  5. Step 5: Solve for x
    x = 422,107,156.44/23,580.77
  6. Step 6: Final answer
    x = 17,900.48

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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.