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Finding the Fourth Proportional to 21,873.56, 32,810.84 and 7,834.54

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Solution

The fourth proportional to 21,873.56, 32,810.84 and 7,834.54 is: 11,751.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.56 : 32,810.84 = 7,834.54 : x
  2. Step 2: Convert to fraction form
    21,873.56/32,810.84 = 7,834.54/x
  3. Step 3: Cross multiply
    21,873.56x = 32,810.84 × 7,834.54
  4. Step 4: Simplify right side
    21,873.56x = 257,057,838.41
  5. Step 5: Solve for x
    x = 257,057,838.41/21,873.56
  6. Step 6: Final answer
    x = 11,751.99

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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.