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Finding the Fourth Proportional to 20,297.66, 27,994.92 and 13,030.46

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Solution

The fourth proportional to 20,297.66, 27,994.92 and 13,030.46 is: 17,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,297.66 : 27,994.92 = 13,030.46 : x
  2. Step 2: Convert to fraction form
    20,297.66/27,994.92 = 13,030.46/x
  3. Step 3: Cross multiply
    20,297.66x = 27,994.92 × 13,030.46
  4. Step 4: Simplify right side
    20,297.66x = 364,786,685.26
  5. Step 5: Solve for x
    x = 364,786,685.26/20,297.66
  6. Step 6: Final answer
    x = 17,971.86

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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.