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Finding the Fourth Proportional to 23,468.34, 32,387.07 and 12,858.66

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Solution

The fourth proportional to 23,468.34, 32,387.07 and 12,858.66 is: 17,745.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,468.34 : 32,387.07 = 12,858.66 : x
  2. Step 2: Convert to fraction form
    23,468.34/32,387.07 = 12,858.66/x
  3. Step 3: Cross multiply
    23,468.34x = 32,387.07 × 12,858.66
  4. Step 4: Simplify right side
    23,468.34x = 416,454,369.75
  5. Step 5: Solve for x
    x = 416,454,369.75/23,468.34
  6. Step 6: Final answer
    x = 17,745.37

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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.