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Finding the Fourth Proportional to 30,669.42, 42,322.82 and 17,241.24

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Solution

The fourth proportional to 30,669.42, 42,322.82 and 17,241.24 is: 23,792.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,669.42 : 42,322.82 = 17,241.24 : x
  2. Step 2: Convert to fraction form
    30,669.42/42,322.82 = 17,241.24/x
  3. Step 3: Cross multiply
    30,669.42x = 42,322.82 × 17,241.24
  4. Step 4: Simplify right side
    30,669.42x = 729,697,897.10
  5. Step 5: Solve for x
    x = 729,697,897.10/30,669.42
  6. Step 6: Final answer
    x = 23,792.36

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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.