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Finding the Fourth Proportional to 30,725.56, 42,401.56 and 17,294.21

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Solution

The fourth proportional to 30,725.56, 42,401.56 and 17,294.21 is: 23,866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,725.56 : 42,401.56 = 17,294.21 : x
  2. Step 2: Convert to fraction form
    30,725.56/42,401.56 = 17,294.21/x
  3. Step 3: Cross multiply
    30,725.56x = 42,401.56 × 17,294.21
  4. Step 4: Simplify right side
    30,725.56x = 733,301,270.96
  5. Step 5: Solve for x
    x = 733,301,270.96/30,725.56
  6. Step 6: Final answer
    x = 23,866.17

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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.