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Finding the Fourth Proportional to 19,217, 28,825.50 and 4,625

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Solution

The fourth proportional to 19,217, 28,825.50 and 4,625 is: 6,937.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,217 : 28,825.50 = 4,625 : x
  2. Step 2: Convert to fraction form
    19,217/28,825.50 = 4,625/x
  3. Step 3: Cross multiply
    19,217x = 28,825.50 × 4,625
  4. Step 4: Simplify right side
    19,217x = 133,317,937.50
  5. Step 5: Solve for x
    x = 133,317,937.50/19,217
  6. Step 6: Final answer
    x = 6,937.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.