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Finding the Fourth Proportional to 18,086.06, 27,106.40 and 9,765.74

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Solution

The fourth proportional to 18,086.06, 27,106.40 and 9,765.74 is: 14,636.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,086.06 : 27,106.40 = 9,765.74 : x
  2. Step 2: Convert to fraction form
    18,086.06/27,106.40 = 9,765.74/x
  3. Step 3: Cross multiply
    18,086.06x = 27,106.40 × 9,765.74
  4. Step 4: Simplify right side
    18,086.06x = 264,714,054.74
  5. Step 5: Solve for x
    x = 264,714,054.74/18,086.06
  6. Step 6: Final answer
    x = 14,636.36

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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.