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Finding the Fourth Proportional to 21,873.81, 32,811.22 and 7,834.80

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Solution

The fourth proportional to 21,873.81, 32,811.22 and 7,834.80 is: 11,752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.81 : 32,811.22 = 7,834.80 : x
  2. Step 2: Convert to fraction form
    21,873.81/32,811.22 = 7,834.80/x
  3. Step 3: Cross multiply
    21,873.81x = 32,811.22 × 7,834.80
  4. Step 4: Simplify right side
    21,873.81x = 257,069,346.46
  5. Step 5: Solve for x
    x = 257,069,346.46/21,873.81
  6. Step 6: Final answer
    x = 11,752.38

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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.