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Finding the Fourth Proportional to 22,468.01, 33,709.21 and 10,782.05

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Solution

The fourth proportional to 22,468.01, 33,709.21 and 10,782.05 is: 16,176.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.01 : 33,709.21 = 10,782.05 : x
  2. Step 2: Convert to fraction form
    22,468.01/33,709.21 = 10,782.05/x
  3. Step 3: Cross multiply
    22,468.01x = 33,709.21 × 10,782.05
  4. Step 4: Simplify right side
    22,468.01x = 363,454,192.18
  5. Step 5: Solve for x
    x = 363,454,192.18/22,468.01
  6. Step 6: Final answer
    x = 16,176.52

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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.