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Finding the Fourth Proportional to 16,097.76, 22,215.27 and 9,024

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Solution

The fourth proportional to 16,097.76, 22,215.27 and 9,024 is: 12,453.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.76 : 22,215.27 = 9,024 : x
  2. Step 2: Convert to fraction form
    16,097.76/22,215.27 = 9,024/x
  3. Step 3: Cross multiply
    16,097.76x = 22,215.27 × 9,024
  4. Step 4: Simplify right side
    16,097.76x = 200,470,596.48
  5. Step 5: Solve for x
    x = 200,470,596.48/16,097.76
  6. Step 6: Final answer
    x = 12,453.32

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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.