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Finding the Fourth Proportional to 23,857.86, 32,923.35 and 13,246.86

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Solution

The fourth proportional to 23,857.86, 32,923.35 and 13,246.86 is: 18,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.86 : 32,923.35 = 13,246.86 : x
  2. Step 2: Convert to fraction form
    23,857.86/32,923.35 = 13,246.86/x
  3. Step 3: Cross multiply
    23,857.86x = 32,923.35 × 13,246.86
  4. Step 4: Simplify right side
    23,857.86x = 436,131,008.18
  5. Step 5: Solve for x
    x = 436,131,008.18/23,857.86
  6. Step 6: Final answer
    x = 18,280.39

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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.