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Finding the Fourth Proportional to 16,258.08, 22,435.46 and 9,185.16

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Solution

The fourth proportional to 16,258.08, 22,435.46 and 9,185.16 is: 12,675.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,258.08 : 22,435.46 = 9,185.16 : x
  2. Step 2: Convert to fraction form
    16,258.08/22,435.46 = 9,185.16/x
  3. Step 3: Cross multiply
    16,258.08x = 22,435.46 × 9,185.16
  4. Step 4: Simplify right side
    16,258.08x = 206,073,289.77
  5. Step 5: Solve for x
    x = 206,073,289.77/16,258.08
  6. Step 6: Final answer
    x = 12,675.13

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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.