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Finding the Fourth Proportional to 16,508.08, 22,778.74 and 9,433.14

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Solution

The fourth proportional to 16,508.08, 22,778.74 and 9,433.14 is: 13,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,508.08 : 22,778.74 = 9,433.14 : x
  2. Step 2: Convert to fraction form
    16,508.08/22,778.74 = 9,433.14/x
  3. Step 3: Cross multiply
    16,508.08x = 22,778.74 × 9,433.14
  4. Step 4: Simplify right side
    16,508.08x = 214,874,929.55
  5. Step 5: Solve for x
    x = 214,874,929.55/16,508.08
  6. Step 6: Final answer
    x = 13,016.35

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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.