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Finding the Fourth Proportional to 21,168.02, 31,759.14 and 8,024.06

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Solution

The fourth proportional to 21,168.02, 31,759.14 and 8,024.06 is: 12,038.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,168.02 : 31,759.14 = 8,024.06 : x
  2. Step 2: Convert to fraction form
    21,168.02/31,759.14 = 8,024.06/x
  3. Step 3: Cross multiply
    21,168.02x = 31,759.14 × 8,024.06
  4. Step 4: Simplify right side
    21,168.02x = 254,837,244.91
  5. Step 5: Solve for x
    x = 254,837,244.91/21,168.02
  6. Step 6: Final answer
    x = 12,038.79

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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.