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Finding the Fourth Proportional to 23,873.57, 32,945.38 and 12,971.61

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Solution

The fourth proportional to 23,873.57, 32,945.38 and 12,971.61 is: 17,900.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,873.57 : 32,945.38 = 12,971.61 : x
  2. Step 2: Convert to fraction form
    23,873.57/32,945.38 = 12,971.61/x
  3. Step 3: Cross multiply
    23,873.57x = 32,945.38 × 12,971.61
  4. Step 4: Simplify right side
    23,873.57x = 427,354,588.23
  5. Step 5: Solve for x
    x = 427,354,588.23/23,873.57
  6. Step 6: Final answer
    x = 17,900.74

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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.