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Finding the Fourth Proportional to 30,230.30, 41,721.53 and 18,297.78

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Solution

The fourth proportional to 30,230.30, 41,721.53 and 18,297.78 is: 25,253.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,230.30 : 41,721.53 = 18,297.78 : x
  2. Step 2: Convert to fraction form
    30,230.30/41,721.53 = 18,297.78/x
  3. Step 3: Cross multiply
    30,230.30x = 41,721.53 × 18,297.78
  4. Step 4: Simplify right side
    30,230.30x = 763,411,285.71
  5. Step 5: Solve for x
    x = 763,411,285.71/30,230.30
  6. Step 6: Final answer
    x = 25,253.19

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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.