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Finding the Fourth Proportional to 25,223.40, 37,822.14 and 13,546.44

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Solution

The fourth proportional to 25,223.40, 37,822.14 and 13,546.44 is: 20,312.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,223.40 : 37,822.14 = 13,546.44 : x
  2. Step 2: Convert to fraction form
    25,223.40/37,822.14 = 13,546.44/x
  3. Step 3: Cross multiply
    25,223.40x = 37,822.14 × 13,546.44
  4. Step 4: Simplify right side
    25,223.40x = 512,355,350.18
  5. Step 5: Solve for x
    x = 512,355,350.18/25,223.40
  6. Step 6: Final answer
    x = 20,312.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.