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Finding the Fourth Proportional to 14,408.16, 19,883.86 and 8,120.53

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Solution

The fourth proportional to 14,408.16, 19,883.86 and 8,120.53 is: 11,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,408.16 : 19,883.86 = 8,120.53 : x
  2. Step 2: Convert to fraction form
    14,408.16/19,883.86 = 8,120.53/x
  3. Step 3: Cross multiply
    14,408.16x = 19,883.86 × 8,120.53
  4. Step 4: Simplify right side
    14,408.16x = 161,467,531.88
  5. Step 5: Solve for x
    x = 161,467,531.88/14,408.16
  6. Step 6: Final answer
    x = 11,206.68

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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.