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Finding the Fourth Proportional to 27,409.14, 37,785.06 and 17,961.30

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Solution

The fourth proportional to 27,409.14, 37,785.06 and 17,961.30 is: 24,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,409.14 : 37,785.06 = 17,961.30 : x
  2. Step 2: Convert to fraction form
    27,409.14/37,785.06 = 17,961.30/x
  3. Step 3: Cross multiply
    27,409.14x = 37,785.06 × 17,961.30
  4. Step 4: Simplify right side
    27,409.14x = 678,668,798.18
  5. Step 5: Solve for x
    x = 678,668,798.18/27,409.14
  6. Step 6: Final answer
    x = 24,760.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.