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Finding the Fourth Proportional to 25,297.25, 34,922.01 and 14,684.84

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Solution

The fourth proportional to 25,297.25, 34,922.01 and 14,684.84 is: 20,271.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,297.25 : 34,922.01 = 14,684.84 : x
  2. Step 2: Convert to fraction form
    25,297.25/34,922.01 = 14,684.84/x
  3. Step 3: Cross multiply
    25,297.25x = 34,922.01 × 14,684.84
  4. Step 4: Simplify right side
    25,297.25x = 512,824,129.33
  5. Step 5: Solve for x
    x = 512,824,129.33/25,297.25
  6. Step 6: Final answer
    x = 20,271.93

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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.