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Finding the Fourth Proportional to 14,408.16, 21,601.44 and 6,097.92

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Solution

The fourth proportional to 14,408.16, 21,601.44 and 6,097.92 is: 9,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.16 : 21,601.44 = 6,097.92 : x
  2. Step 2: Convert to fraction form
    14,408.16/21,601.44 = 6,097.92/x
  3. Step 3: Cross multiply
    14,408.16x = 21,601.44 × 6,097.92
  4. Step 4: Simplify right side
    14,408.16x = 131,723,853.00
  5. Step 5: Solve for x
    x = 131,723,853.00/14,408.16
  6. Step 6: Final answer
    x = 9,142.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.