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Finding the Fourth Proportional to 14,416.83, 19,889.69 and 8,446.32

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Solution

The fourth proportional to 14,416.83, 19,889.69 and 8,446.32 is: 11,652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.83 : 19,889.69 = 8,446.32 : x
  2. Step 2: Convert to fraction form
    14,416.83/19,889.69 = 8,446.32/x
  3. Step 3: Cross multiply
    14,416.83x = 19,889.69 × 8,446.32
  4. Step 4: Simplify right side
    14,416.83x = 167,994,644.21
  5. Step 5: Solve for x
    x = 167,994,644.21/14,416.83
  6. Step 6: Final answer
    x = 11,652.68

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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.