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Finding the Fourth Proportional to 14,232.70, 19,645.29 and 8,267.05

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Solution

The fourth proportional to 14,232.70, 19,645.29 and 8,267.05 is: 11,410.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.70 : 19,645.29 = 8,267.05 : x
  2. Step 2: Convert to fraction form
    14,232.70/19,645.29 = 8,267.05/x
  3. Step 3: Cross multiply
    14,232.70x = 19,645.29 × 8,267.05
  4. Step 4: Simplify right side
    14,232.70x = 162,408,496.47
  5. Step 5: Solve for x
    x = 162,408,496.47/14,232.70
  6. Step 6: Final answer
    x = 11,410.94

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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.