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Finding the Fourth Proportional to 19,706.09, 27,192.00 and 11,209.29

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Solution

The fourth proportional to 19,706.09, 27,192.00 and 11,209.29 is: 15,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.09 : 27,192.00 = 11,209.29 : x
  2. Step 2: Convert to fraction form
    19,706.09/27,192.00 = 11,209.29/x
  3. Step 3: Cross multiply
    19,706.09x = 27,192.00 × 11,209.29
  4. Step 4: Simplify right side
    19,706.09x = 304,802,953.74
  5. Step 5: Solve for x
    x = 304,802,953.74/19,706.09
  6. Step 6: Final answer
    x = 15,467.45

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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.