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Finding the Fourth Proportional to 30,824.34, 42,537.78 and 17,396.16

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Solution

The fourth proportional to 30,824.34, 42,537.78 and 17,396.16 is: 24,006.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,824.34 : 42,537.78 = 17,396.16 : x
  2. Step 2: Convert to fraction form
    30,824.34/42,537.78 = 17,396.16/x
  3. Step 3: Cross multiply
    30,824.34x = 42,537.78 × 17,396.16
  4. Step 4: Simplify right side
    30,824.34x = 739,994,026.92
  5. Step 5: Solve for x
    x = 739,994,026.92/30,824.34
  6. Step 6: Final answer
    x = 24,006.81

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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.