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Finding the Fourth Proportional to 13,924.71, 19,220.69 and 12,448.49

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Solution

The fourth proportional to 13,924.71, 19,220.69 and 12,448.49 is: 17,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.71 : 19,220.69 = 12,448.49 : x
  2. Step 2: Convert to fraction form
    13,924.71/19,220.69 = 12,448.49/x
  3. Step 3: Cross multiply
    13,924.71x = 19,220.69 × 12,448.49
  4. Step 4: Simplify right side
    13,924.71x = 239,268,502.28
  5. Step 5: Solve for x
    x = 239,268,502.28/13,924.71
  6. Step 6: Final answer
    x = 17,183.02

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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.