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Finding the Fourth Proportional to 22,858.48, 34,259.46 and 13,489

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Solution

The fourth proportional to 22,858.48, 34,259.46 and 13,489 is: 20,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,858.48 : 34,259.46 = 13,489 : x
  2. Step 2: Convert to fraction form
    22,858.48/34,259.46 = 13,489/x
  3. Step 3: Cross multiply
    22,858.48x = 34,259.46 × 13,489
  4. Step 4: Simplify right side
    22,858.48x = 462,125,855.94
  5. Step 5: Solve for x
    x = 462,125,855.94/22,858.48
  6. Step 6: Final answer
    x = 20,216.82

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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.