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Finding the Fourth Proportional to 22,485.64, 31,029.73 and 12,413.50

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Solution

The fourth proportional to 22,485.64, 31,029.73 and 12,413.50 is: 17,130.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,485.64 : 31,029.73 = 12,413.50 : x
  2. Step 2: Convert to fraction form
    22,485.64/31,029.73 = 12,413.50/x
  3. Step 3: Cross multiply
    22,485.64x = 31,029.73 × 12,413.50
  4. Step 4: Simplify right side
    22,485.64x = 385,187,553.36
  5. Step 5: Solve for x
    x = 385,187,553.36/22,485.64
  6. Step 6: Final answer
    x = 17,130.38

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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.