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Finding the Fourth Proportional to 27,135.39, 40,708.91 and 8,415.03

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Solution

The fourth proportional to 27,135.39, 40,708.91 and 8,415.03 is: 12,624.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,135.39 : 40,708.91 = 8,415.03 : x
  2. Step 2: Convert to fraction form
    27,135.39/40,708.91 = 8,415.03/x
  3. Step 3: Cross multiply
    27,135.39x = 40,708.91 × 8,415.03
  4. Step 4: Simplify right side
    27,135.39x = 342,566,698.92
  5. Step 5: Solve for x
    x = 342,566,698.92/27,135.39
  6. Step 6: Final answer
    x = 12,624.35

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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.