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Finding the Fourth Proportional to 30,114.16, 41,564.16 and 17,546.16

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Solution

The fourth proportional to 30,114.16, 41,564.16 and 17,546.16 is: 24,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114.16 : 41,564.16 = 17,546.16 : x
  2. Step 2: Convert to fraction form
    30,114.16/41,564.16 = 17,546.16/x
  3. Step 3: Cross multiply
    30,114.16x = 41,564.16 × 17,546.16
  4. Step 4: Simplify right side
    30,114.16x = 729,291,401.63
  5. Step 5: Solve for x
    x = 729,291,401.63/30,114.16
  6. Step 6: Final answer
    x = 24,217.56

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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.