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Finding the Fourth Proportional to 16,098.36, 22,215.54 and 9,024.63

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Solution

The fourth proportional to 16,098.36, 22,215.54 and 9,024.63 is: 12,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.36 : 22,215.54 = 9,024.63 : x
  2. Step 2: Convert to fraction form
    16,098.36/22,215.54 = 9,024.63/x
  3. Step 3: Cross multiply
    16,098.36x = 22,215.54 × 9,024.63
  4. Step 4: Simplify right side
    16,098.36x = 200,487,028.75
  5. Step 5: Solve for x
    x = 200,487,028.75/16,098.36
  6. Step 6: Final answer
    x = 12,453.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.