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Finding the Fourth Proportional to 21,751.86, 32,582.16 and 13,850.34

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Solution

The fourth proportional to 21,751.86, 32,582.16 and 13,850.34 is: 20,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,751.86 : 32,582.16 = 13,850.34 : x
  2. Step 2: Convert to fraction form
    21,751.86/32,582.16 = 13,850.34/x
  3. Step 3: Cross multiply
    21,751.86x = 32,582.16 × 13,850.34
  4. Step 4: Simplify right side
    21,751.86x = 451,273,993.93
  5. Step 5: Solve for x
    x = 451,273,993.93/21,751.86
  6. Step 6: Final answer
    x = 20,746.46

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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.