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Finding the Fourth Proportional to 21,079.17, 31,629.07 and 9,231.32

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Solution

The fourth proportional to 21,079.17, 31,629.07 and 9,231.32 is: 13,851.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,079.17 : 31,629.07 = 9,231.32 : x
  2. Step 2: Convert to fraction form
    21,079.17/31,629.07 = 9,231.32/x
  3. Step 3: Cross multiply
    21,079.17x = 31,629.07 × 9,231.32
  4. Step 4: Simplify right side
    21,079.17x = 291,977,927.24
  5. Step 5: Solve for x
    x = 291,977,927.24/21,079.17
  6. Step 6: Final answer
    x = 13,851.49

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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.