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Finding the Fourth Proportional to 19,804.74, 27,331.22 and 10,852.22

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Solution

The fourth proportional to 19,804.74, 27,331.22 and 10,852.22 is: 14,976.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.74 : 27,331.22 = 10,852.22 : x
  2. Step 2: Convert to fraction form
    19,804.74/27,331.22 = 10,852.22/x
  3. Step 3: Cross multiply
    19,804.74x = 27,331.22 × 10,852.22
  4. Step 4: Simplify right side
    19,804.74x = 296,604,221.39
  5. Step 5: Solve for x
    x = 296,604,221.39/19,804.74
  6. Step 6: Final answer
    x = 14,976.43

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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.