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Finding the Fourth Proportional to 27,474.93, 41,188.10 and 13,427.10

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Solution

The fourth proportional to 27,474.93, 41,188.10 and 13,427.10 is: 20,128.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,474.93 : 41,188.10 = 13,427.10 : x
  2. Step 2: Convert to fraction form
    27,474.93/41,188.10 = 13,427.10/x
  3. Step 3: Cross multiply
    27,474.93x = 41,188.10 × 13,427.10
  4. Step 4: Simplify right side
    27,474.93x = 553,036,670.37
  5. Step 5: Solve for x
    x = 553,036,670.37/27,474.93
  6. Step 6: Final answer
    x = 20,128.77

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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.