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Finding the Fourth Proportional to 22,858.06, 34,290.69 and 9,710.50

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Solution

The fourth proportional to 22,858.06, 34,290.69 and 9,710.50 is: 14,567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858.06 : 34,290.69 = 9,710.50 : x
  2. Step 2: Convert to fraction form
    22,858.06/34,290.69 = 9,710.50/x
  3. Step 3: Cross multiply
    22,858.06x = 34,290.69 × 9,710.50
  4. Step 4: Simplify right side
    22,858.06x = 332,979,745.25
  5. Step 5: Solve for x
    x = 332,979,745.25/22,858.06
  6. Step 6: Final answer
    x = 14,567.28

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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.