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Finding the Fourth Proportional to 13,801.59, 20,702.31 and 8,256.49

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Solution

The fourth proportional to 13,801.59, 20,702.31 and 8,256.49 is: 12,384.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.59 : 20,702.31 = 8,256.49 : x
  2. Step 2: Convert to fraction form
    13,801.59/20,702.31 = 8,256.49/x
  3. Step 3: Cross multiply
    13,801.59x = 20,702.31 × 8,256.49
  4. Step 4: Simplify right side
    13,801.59x = 170,928,270.70
  5. Step 5: Solve for x
    x = 170,928,270.70/13,801.59
  6. Step 6: Final answer
    x = 12,384.68

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1.5x scale

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.