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Finding the Fourth Proportional to 25,100, 34,639.08 and 13,922

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Solution

The fourth proportional to 25,100, 34,639.08 and 13,922 is: 19,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,100 : 34,639.08 = 13,922 : x
  2. Step 2: Convert to fraction form
    25,100/34,639.08 = 13,922/x
  3. Step 3: Cross multiply
    25,100x = 34,639.08 × 13,922
  4. Step 4: Simplify right side
    25,100x = 482,245,271.76
  5. Step 5: Solve for x
    x = 482,245,271.76/25,100
  6. Step 6: Final answer
    x = 19,212.96

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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.