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Finding the Fourth Proportional to 17,837.53, 26,739.74 and 6,586.65

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Solution

The fourth proportional to 17,837.53, 26,739.74 and 6,586.65 is: 9,873.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,837.53 : 26,739.74 = 6,586.65 : x
  2. Step 2: Convert to fraction form
    17,837.53/26,739.74 = 6,586.65/x
  3. Step 3: Cross multiply
    17,837.53x = 26,739.74 × 6,586.65
  4. Step 4: Simplify right side
    17,837.53x = 176,125,275.54
  5. Step 5: Solve for x
    x = 176,125,275.54/17,837.53
  6. Step 6: Final answer
    x = 9,873.86

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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.