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Finding the Fourth Proportional to 16,097.32, 22,215.84 and 9,024.92

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Solution

The fourth proportional to 16,097.32, 22,215.84 and 9,024.92 is: 12,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.32 : 22,215.84 = 9,024.92 : x
  2. Step 2: Convert to fraction form
    16,097.32/22,215.84 = 9,024.92/x
  3. Step 3: Cross multiply
    16,097.32x = 22,215.84 × 9,024.92
  4. Step 4: Simplify right side
    16,097.32x = 200,496,178.73
  5. Step 5: Solve for x
    x = 200,496,178.73/16,097.32
  6. Step 6: Final answer
    x = 12,455.25

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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.