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Finding the Fourth Proportional to 27,345.53, 41,018.47 and 7,624.26

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Solution

The fourth proportional to 27,345.53, 41,018.47 and 7,624.26 is: 11,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,345.53 : 41,018.47 = 7,624.26 : x
  2. Step 2: Convert to fraction form
    27,345.53/41,018.47 = 7,624.26/x
  3. Step 3: Cross multiply
    27,345.53x = 41,018.47 × 7,624.26
  4. Step 4: Simplify right side
    27,345.53x = 312,735,480.08
  5. Step 5: Solve for x
    x = 312,735,480.08/27,345.53
  6. Step 6: Final answer
    x = 11,436.44

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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.