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Finding the Fourth Proportional to 22,085.25, 30,477.65 and 12,659.28

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Solution

The fourth proportional to 22,085.25, 30,477.65 and 12,659.28 is: 17,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,085.25 : 30,477.65 = 12,659.28 : x
  2. Step 2: Convert to fraction form
    22,085.25/30,477.65 = 12,659.28/x
  3. Step 3: Cross multiply
    22,085.25x = 30,477.65 × 12,659.28
  4. Step 4: Simplify right side
    22,085.25x = 385,825,041.80
  5. Step 5: Solve for x
    x = 385,825,041.80/22,085.25
  6. Step 6: Final answer
    x = 17,469.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.