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Finding the Fourth Proportional to 13,648.47, 20,442.99 and 8,367.51

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Solution

The fourth proportional to 13,648.47, 20,442.99 and 8,367.51 is: 12,533.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648.47 : 20,442.99 = 8,367.51 : x
  2. Step 2: Convert to fraction form
    13,648.47/20,442.99 = 8,367.51/x
  3. Step 3: Cross multiply
    13,648.47x = 20,442.99 × 8,367.51
  4. Step 4: Simplify right side
    13,648.47x = 171,056,923.25
  5. Step 5: Solve for x
    x = 171,056,923.25/13,648.47
  6. Step 6: Final answer
    x = 12,533.05

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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.