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Finding the Fourth Proportional to 15,830.97, 23,745.99 and 6,468.33

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Solution

The fourth proportional to 15,830.97, 23,745.99 and 6,468.33 is: 9,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,830.97 : 23,745.99 = 6,468.33 : x
  2. Step 2: Convert to fraction form
    15,830.97/23,745.99 = 6,468.33/x
  3. Step 3: Cross multiply
    15,830.97x = 23,745.99 × 6,468.33
  4. Step 4: Simplify right side
    15,830.97x = 153,596,899.50
  5. Step 5: Solve for x
    x = 153,596,899.50/15,830.97
  6. Step 6: Final answer
    x = 9,702.31

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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.