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Finding the Fourth Proportional to 22,349.25, 30,841.97 and 12,413.25

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Solution

The fourth proportional to 22,349.25, 30,841.97 and 12,413.25 is: 17,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,349.25 : 30,841.97 = 12,413.25 : x
  2. Step 2: Convert to fraction form
    22,349.25/30,841.97 = 12,413.25/x
  3. Step 3: Cross multiply
    22,349.25x = 30,841.97 × 12,413.25
  4. Step 4: Simplify right side
    22,349.25x = 382,849,022.04
  5. Step 5: Solve for x
    x = 382,849,022.04/22,349.25
  6. Step 6: Final answer
    x = 17,130.29

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1.5x scale

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.