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Finding the Fourth Proportional to 16,414.32, 22,653.40 and 9,790.32

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Solution

The fourth proportional to 16,414.32, 22,653.40 and 9,790.32 is: 13,511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.32 : 22,653.40 = 9,790.32 : x
  2. Step 2: Convert to fraction form
    16,414.32/22,653.40 = 9,790.32/x
  3. Step 3: Cross multiply
    16,414.32x = 22,653.40 × 9,790.32
  4. Step 4: Simplify right side
    16,414.32x = 221,784,035.09
  5. Step 5: Solve for x
    x = 221,784,035.09/16,414.32
  6. Step 6: Final answer
    x = 13,511.62

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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.