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Finding the Fourth Proportional to 16,914.83, 25,387.64 and 9,024.04

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Solution

The fourth proportional to 16,914.83, 25,387.64 and 9,024.04 is: 13,544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,914.83 : 25,387.64 = 9,024.04 : x
  2. Step 2: Convert to fraction form
    16,914.83/25,387.64 = 9,024.04/x
  3. Step 3: Cross multiply
    16,914.83x = 25,387.64 × 9,024.04
  4. Step 4: Simplify right side
    16,914.83x = 229,098,906.81
  5. Step 5: Solve for x
    x = 229,098,906.81/16,914.83
  6. Step 6: Final answer
    x = 13,544.26

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Why These Related Problems?

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