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Finding the Fourth Proportional to 13,321.02, 19,981.53 and 3,961

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Solution

The fourth proportional to 13,321.02, 19,981.53 and 3,961 is: 5,941.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,321.02 : 19,981.53 = 3,961 : x
  2. Step 2: Convert to fraction form
    13,321.02/19,981.53 = 3,961/x
  3. Step 3: Cross multiply
    13,321.02x = 19,981.53 × 3,961
  4. Step 4: Simplify right side
    13,321.02x = 79,146,840.33
  5. Step 5: Solve for x
    x = 79,146,840.33/13,321.02
  6. Step 6: Final answer
    x = 5,941.50

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Why These Related Problems?

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