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Finding the Fourth Proportional to 30,212.96, 41,696.52 and 17,641.76

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Solution

The fourth proportional to 30,212.96, 41,696.52 and 17,641.76 is: 24,347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,212.96 : 41,696.52 = 17,641.76 : x
  2. Step 2: Convert to fraction form
    30,212.96/41,696.52 = 17,641.76/x
  3. Step 3: Cross multiply
    30,212.96x = 41,696.52 × 17,641.76
  4. Step 4: Simplify right side
    30,212.96x = 735,599,998.68
  5. Step 5: Solve for x
    x = 735,599,998.68/30,212.96
  6. Step 6: Final answer
    x = 24,347.17

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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.