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Finding the Fourth Proportional to 21,255.99, 31,888.73 and 6,466.06

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Solution

The fourth proportional to 21,255.99, 31,888.73 and 6,466.06 is: 9,700.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,255.99 : 31,888.73 = 6,466.06 : x
  2. Step 2: Convert to fraction form
    21,255.99/31,888.73 = 6,466.06/x
  3. Step 3: Cross multiply
    21,255.99x = 31,888.73 × 6,466.06
  4. Step 4: Simplify right side
    21,255.99x = 206,194,441.50
  5. Step 5: Solve for x
    x = 206,194,441.50/21,255.99
  6. Step 6: Final answer
    x = 9,700.53

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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.