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Finding the Fourth Proportional to 23,639.91, 32,620.50 and 13,027.50

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Solution

The fourth proportional to 23,639.91, 32,620.50 and 13,027.50 is: 17,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,639.91 : 32,620.50 = 13,027.50 : x
  2. Step 2: Convert to fraction form
    23,639.91/32,620.50 = 13,027.50/x
  3. Step 3: Cross multiply
    23,639.91x = 32,620.50 × 13,027.50
  4. Step 4: Simplify right side
    23,639.91x = 424,963,563.75
  5. Step 5: Solve for x
    x = 424,963,563.75/23,639.91
  6. Step 6: Final answer
    x = 17,976.53

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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.