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Finding the Fourth Proportional to 22,289, 30,758.82 and 12,858.98

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Solution

The fourth proportional to 22,289, 30,758.82 and 12,858.98 is: 17,745.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,289 : 30,758.82 = 12,858.98 : x
  2. Step 2: Convert to fraction form
    22,289/30,758.82 = 12,858.98/x
  3. Step 3: Cross multiply
    22,289x = 30,758.82 × 12,858.98
  4. Step 4: Simplify right side
    22,289x = 395,527,051.20
  5. Step 5: Solve for x
    x = 395,527,051.20/22,289
  6. Step 6: Final answer
    x = 17,745.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.