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Finding the Fourth Proportional to 27,038.28, 40,533.91 and 12,991.26

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Solution

The fourth proportional to 27,038.28, 40,533.91 and 12,991.26 is: 19,475.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038.28 : 40,533.91 = 12,991.26 : x
  2. Step 2: Convert to fraction form
    27,038.28/40,533.91 = 12,991.26/x
  3. Step 3: Cross multiply
    27,038.28x = 40,533.91 × 12,991.26
  4. Step 4: Simplify right side
    27,038.28x = 526,586,563.63
  5. Step 5: Solve for x
    x = 526,586,563.63/27,038.28
  6. Step 6: Final answer
    x = 19,475.59

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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.