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Finding the Fourth Proportional to 30,920.25, 42,669.96 and 17,491.22

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Solution

The fourth proportional to 30,920.25, 42,669.96 and 17,491.22 is: 24,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,920.25 : 42,669.96 = 17,491.22 : x
  2. Step 2: Convert to fraction form
    30,920.25/42,669.96 = 17,491.22/x
  3. Step 3: Cross multiply
    30,920.25x = 42,669.96 × 17,491.22
  4. Step 4: Simplify right side
    30,920.25x = 746,349,538.82
  5. Step 5: Solve for x
    x = 746,349,538.82/30,920.25
  6. Step 6: Final answer
    x = 24,137.89

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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.