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Finding the Fourth Proportional to 22,051, 33,032.04 and 10,188.04

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Solution

The fourth proportional to 22,051, 33,032.04 and 10,188.04 is: 15,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,051 : 33,032.04 = 10,188.04 : x
  2. Step 2: Convert to fraction form
    22,051/33,032.04 = 10,188.04/x
  3. Step 3: Cross multiply
    22,051x = 33,032.04 × 10,188.04
  4. Step 4: Simplify right side
    22,051x = 336,531,744.80
  5. Step 5: Solve for x
    x = 336,531,744.80/22,051
  6. Step 6: Final answer
    x = 15,261.52

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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.