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Finding the Fourth Proportional to 14,467.72, 19,965.28 and 8,499.94

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Solution

The fourth proportional to 14,467.72, 19,965.28 and 8,499.94 is: 11,729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,467.72 : 19,965.28 = 8,499.94 : x
  2. Step 2: Convert to fraction form
    14,467.72/19,965.28 = 8,499.94/x
  3. Step 3: Cross multiply
    14,467.72x = 19,965.28 × 8,499.94
  4. Step 4: Simplify right side
    14,467.72x = 169,703,682.08
  5. Step 5: Solve for x
    x = 169,703,682.08/14,467.72
  6. Step 6: Final answer
    x = 11,729.82

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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.