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Finding the Fourth Proportional to 22,896, 34,339.95 and 10,413.09

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Solution

The fourth proportional to 22,896, 34,339.95 and 10,413.09 is: 15,617.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,896 : 34,339.95 = 10,413.09 : x
  2. Step 2: Convert to fraction form
    22,896/34,339.95 = 10,413.09/x
  3. Step 3: Cross multiply
    22,896x = 34,339.95 × 10,413.09
  4. Step 4: Simplify right side
    22,896x = 357,584,989.95
  5. Step 5: Solve for x
    x = 357,584,989.95/22,896
  6. Step 6: Final answer
    x = 15,617.79

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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.