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Finding the Fourth Proportional to 30,694.41, 42,346.29 and 17,262.59

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Solution

The fourth proportional to 30,694.41, 42,346.29 and 17,262.59 is: 23,815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,694.41 : 42,346.29 = 17,262.59 : x
  2. Step 2: Convert to fraction form
    30,694.41/42,346.29 = 17,262.59/x
  3. Step 3: Cross multiply
    30,694.41x = 42,346.29 × 17,262.59
  4. Step 4: Simplify right side
    30,694.41x = 731,006,495.29
  5. Step 5: Solve for x
    x = 731,006,495.29/30,694.41
  6. Step 6: Final answer
    x = 23,815.62

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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.