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Finding the Fourth Proportional to 19,708.19, 27,197.93 and 11,210.09

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Solution

The fourth proportional to 19,708.19, 27,197.93 and 11,210.09 is: 15,470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.19 : 27,197.93 = 11,210.09 : x
  2. Step 2: Convert to fraction form
    19,708.19/27,197.93 = 11,210.09/x
  3. Step 3: Cross multiply
    19,708.19x = 27,197.93 × 11,210.09
  4. Step 4: Simplify right side
    19,708.19x = 304,891,107.12
  5. Step 5: Solve for x
    x = 304,891,107.12/19,708.19
  6. Step 6: Final answer
    x = 15,470.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.