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Finding the Fourth Proportional to 21,212, 31,812.74 and 7,171.72

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Solution

The fourth proportional to 21,212, 31,812.74 and 7,171.72 is: 10,755.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212 : 31,812.74 = 7,171.72 : x
  2. Step 2: Convert to fraction form
    21,212/31,812.74 = 7,171.72/x
  3. Step 3: Cross multiply
    21,212x = 31,812.74 × 7,171.72
  4. Step 4: Simplify right side
    21,212x = 228,152,063.71
  5. Step 5: Solve for x
    x = 228,152,063.71/21,212
  6. Step 6: Final answer
    x = 10,755.80

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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.