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Finding the Fourth Proportional to 23,866.50, 32,937.72 and 13,256.78

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Solution

The fourth proportional to 23,866.50, 32,937.72 and 13,256.78 is: 18,295.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,866.50 : 32,937.72 = 13,256.78 : x
  2. Step 2: Convert to fraction form
    23,866.50/32,937.72 = 13,256.78/x
  3. Step 3: Cross multiply
    23,866.50x = 32,937.72 × 13,256.78
  4. Step 4: Simplify right side
    23,866.50x = 436,648,107.74
  5. Step 5: Solve for x
    x = 436,648,107.74/23,866.50
  6. Step 6: Final answer
    x = 18,295.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.