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Finding the Fourth Proportional to 21,164.66, 31,719.13 and 11,809.08

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Solution

The fourth proportional to 21,164.66, 31,719.13 and 11,809.08 is: 17,698.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,164.66 : 31,719.13 = 11,809.08 : x
  2. Step 2: Convert to fraction form
    21,164.66/31,719.13 = 11,809.08/x
  3. Step 3: Cross multiply
    21,164.66x = 31,719.13 × 11,809.08
  4. Step 4: Simplify right side
    21,164.66x = 374,573,743.70
  5. Step 5: Solve for x
    x = 374,573,743.70/21,164.66
  6. Step 6: Final answer
    x = 17,698.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.