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Finding the Fourth Proportional to 22,448.70, 30,973.74 and 14,489.22

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Solution

The fourth proportional to 22,448.70, 30,973.74 and 14,489.22 is: 19,991.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.70 : 30,973.74 = 14,489.22 : x
  2. Step 2: Convert to fraction form
    22,448.70/30,973.74 = 14,489.22/x
  3. Step 3: Cross multiply
    22,448.70x = 30,973.74 × 14,489.22
  4. Step 4: Simplify right side
    22,448.70x = 448,785,333.08
  5. Step 5: Solve for x
    x = 448,785,333.08/22,448.70
  6. Step 6: Final answer
    x = 19,991.60

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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.