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Finding the Fourth Proportional to 23,809.26, 32,856.76 and 13,200.50

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Solution

The fourth proportional to 23,809.26, 32,856.76 and 13,200.50 is: 18,216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.26 : 32,856.76 = 13,200.50 : x
  2. Step 2: Convert to fraction form
    23,809.26/32,856.76 = 13,200.50/x
  3. Step 3: Cross multiply
    23,809.26x = 32,856.76 × 13,200.50
  4. Step 4: Simplify right side
    23,809.26x = 433,725,660.38
  5. Step 5: Solve for x
    x = 433,725,660.38/23,809.26
  6. Step 6: Final answer
    x = 18,216.68

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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.