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Finding the Fourth Proportional to 12,485.14, 18,723.12 and 5,085.58

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Solution

The fourth proportional to 12,485.14, 18,723.12 and 5,085.58 is: 7,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,485.14 : 18,723.12 = 5,085.58 : x
  2. Step 2: Convert to fraction form
    12,485.14/18,723.12 = 5,085.58/x
  3. Step 3: Cross multiply
    12,485.14x = 18,723.12 × 5,085.58
  4. Step 4: Simplify right side
    12,485.14x = 95,217,924.61
  5. Step 5: Solve for x
    x = 95,217,924.61/12,485.14
  6. Step 6: Final answer
    x = 7,626.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.