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Finding the Fourth Proportional to 23,857.79, 32,923.57 and 13,247.46

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Solution

The fourth proportional to 23,857.79, 32,923.57 and 13,247.46 is: 18,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,857.79 : 32,923.57 = 13,247.46 : x
  2. Step 2: Convert to fraction form
    23,857.79/32,923.57 = 13,247.46/x
  3. Step 3: Cross multiply
    23,857.79x = 32,923.57 × 13,247.46
  4. Step 4: Simplify right side
    23,857.79x = 436,153,676.63
  5. Step 5: Solve for x
    x = 436,153,676.63/23,857.79
  6. Step 6: Final answer
    x = 18,281.39

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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.