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Finding the Fourth Proportional to 22,506.51, 33,738.73 and 11,400.19

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Solution

The fourth proportional to 22,506.51, 33,738.73 and 11,400.19 is: 17,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506.51 : 33,738.73 = 11,400.19 : x
  2. Step 2: Convert to fraction form
    22,506.51/33,738.73 = 11,400.19/x
  3. Step 3: Cross multiply
    22,506.51x = 33,738.73 × 11,400.19
  4. Step 4: Simplify right side
    22,506.51x = 384,628,009.29
  5. Step 5: Solve for x
    x = 384,628,009.29/22,506.51
  6. Step 6: Final answer
    x = 17,089.64

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1.5x scale

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.