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Finding the Fourth Proportional to 12,393.65, 18,586.54 and 4,071.75

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Solution

The fourth proportional to 12,393.65, 18,586.54 and 4,071.75 is: 6,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,393.65 : 18,586.54 = 4,071.75 : x
  2. Step 2: Convert to fraction form
    12,393.65/18,586.54 = 4,071.75/x
  3. Step 3: Cross multiply
    12,393.65x = 18,586.54 × 4,071.75
  4. Step 4: Simplify right side
    12,393.65x = 75,679,733.53
  5. Step 5: Solve for x
    x = 75,679,733.53/12,393.65
  6. Step 6: Final answer
    x = 6,106.33

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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.