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Finding the Fourth Proportional to 13,573.59, 20,356.25 and 8,025.41

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Solution

The fourth proportional to 13,573.59, 20,356.25 and 8,025.41 is: 12,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.59 : 20,356.25 = 8,025.41 : x
  2. Step 2: Convert to fraction form
    13,573.59/20,356.25 = 8,025.41/x
  3. Step 3: Cross multiply
    13,573.59x = 20,356.25 × 8,025.41
  4. Step 4: Simplify right side
    13,573.59x = 163,367,110.40
  5. Step 5: Solve for x
    x = 163,367,110.40/13,573.59
  6. Step 6: Final answer
    x = 12,035.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.