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Finding the Fourth Proportional to 16,259.27, 22,438.08 and 9,185.81

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Solution

The fourth proportional to 16,259.27, 22,438.08 and 9,185.81 is: 12,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,259.27 : 22,438.08 = 9,185.81 : x
  2. Step 2: Convert to fraction form
    16,259.27/22,438.08 = 9,185.81/x
  3. Step 3: Cross multiply
    16,259.27x = 22,438.08 × 9,185.81
  4. Step 4: Simplify right side
    16,259.27x = 206,111,827.45
  5. Step 5: Solve for x
    x = 206,111,827.45/16,259.27
  6. Step 6: Final answer
    x = 12,676.58

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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.