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Finding the Fourth Proportional to 14,594.63, 20,122.17 and 9,550.86

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Solution

The fourth proportional to 14,594.63, 20,122.17 and 9,550.86 is: 13,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.63 : 20,122.17 = 9,550.86 : x
  2. Step 2: Convert to fraction form
    14,594.63/20,122.17 = 9,550.86/x
  3. Step 3: Cross multiply
    14,594.63x = 20,122.17 × 9,550.86
  4. Step 4: Simplify right side
    14,594.63x = 192,184,028.57
  5. Step 5: Solve for x
    x = 192,184,028.57/14,594.63
  6. Step 6: Final answer
    x = 13,168.14

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1.5x scale

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.