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Finding the Fourth Proportional to 21,213, 31,819.61 and 7,173.12

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Solution

The fourth proportional to 21,213, 31,819.61 and 7,173.12 is: 10,759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,213 : 31,819.61 = 7,173.12 : x
  2. Step 2: Convert to fraction form
    21,213/31,819.61 = 7,173.12/x
  3. Step 3: Cross multiply
    21,213x = 31,819.61 × 7,173.12
  4. Step 4: Simplify right side
    21,213x = 228,245,845.02
  5. Step 5: Solve for x
    x = 228,245,845.02/21,213
  6. Step 6: Final answer
    x = 10,759.72

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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.