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Finding the Fourth Proportional to 16,242.96, 22,408.74 and 9,867.16

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Solution

The fourth proportional to 16,242.96, 22,408.74 and 9,867.16 is: 13,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.96 : 22,408.74 = 9,867.16 : x
  2. Step 2: Convert to fraction form
    16,242.96/22,408.74 = 9,867.16/x
  3. Step 3: Cross multiply
    16,242.96x = 22,408.74 × 9,867.16
  4. Step 4: Simplify right side
    16,242.96x = 221,110,622.98
  5. Step 5: Solve for x
    x = 221,110,622.98/16,242.96
  6. Step 6: Final answer
    x = 13,612.71

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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.