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Finding the Fourth Proportional to 18,486.86, 27,729.48 and 5,339.78

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Solution

The fourth proportional to 18,486.86, 27,729.48 and 5,339.78 is: 8,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,486.86 : 27,729.48 = 5,339.78 : x
  2. Step 2: Convert to fraction form
    18,486.86/27,729.48 = 5,339.78/x
  3. Step 3: Cross multiply
    18,486.86x = 27,729.48 × 5,339.78
  4. Step 4: Simplify right side
    18,486.86x = 148,069,322.71
  5. Step 5: Solve for x
    x = 148,069,322.71/18,486.86
  6. Step 6: Final answer
    x = 8,009.44

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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.