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Finding the Fourth Proportional to 21,256.99, 31,890.23 and 6,467.06

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Solution

The fourth proportional to 21,256.99, 31,890.23 and 6,467.06 is: 9,702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,256.99 : 31,890.23 = 6,467.06 : x
  2. Step 2: Convert to fraction form
    21,256.99/31,890.23 = 6,467.06/x
  3. Step 3: Cross multiply
    21,256.99x = 31,890.23 × 6,467.06
  4. Step 4: Simplify right side
    21,256.99x = 206,236,030.82
  5. Step 5: Solve for x
    x = 206,236,030.82/21,256.99
  6. Step 6: Final answer
    x = 9,702.03

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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.