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Finding the Fourth Proportional to 17,133, 25,699.95 and 5,446.22

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Solution

The fourth proportional to 17,133, 25,699.95 and 5,446.22 is: 8,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,133 : 25,699.95 = 5,446.22 : x
  2. Step 2: Convert to fraction form
    17,133/25,699.95 = 5,446.22/x
  3. Step 3: Cross multiply
    17,133x = 25,699.95 × 5,446.22
  4. Step 4: Simplify right side
    17,133x = 139,967,453.19
  5. Step 5: Solve for x
    x = 139,967,453.19/17,133
  6. Step 6: Final answer
    x = 8,169.47

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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.