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Finding the Fourth Proportional to 16,224.21, 22,389.44 and 9,054.68

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Solution

The fourth proportional to 16,224.21, 22,389.44 and 9,054.68 is: 12,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224.21 : 22,389.44 = 9,054.68 : x
  2. Step 2: Convert to fraction form
    16,224.21/22,389.44 = 9,054.68/x
  3. Step 3: Cross multiply
    16,224.21x = 22,389.44 × 9,054.68
  4. Step 4: Simplify right side
    16,224.21x = 202,729,057.36
  5. Step 5: Solve for x
    x = 202,729,057.36/16,224.21
  6. Step 6: Final answer
    x = 12,495.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.