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Finding the Fourth Proportional to 12,464.80, 18,697.74 and 8,085.40

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Solution

The fourth proportional to 12,464.80, 18,697.74 and 8,085.40 is: 12,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.80 : 18,697.74 = 8,085.40 : x
  2. Step 2: Convert to fraction form
    12,464.80/18,697.74 = 8,085.40/x
  3. Step 3: Cross multiply
    12,464.80x = 18,697.74 × 8,085.40
  4. Step 4: Simplify right side
    12,464.80x = 151,178,707.00
  5. Step 5: Solve for x
    x = 151,178,707.00/12,464.80
  6. Step 6: Final answer
    x = 12,128.45

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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.