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Finding the Fourth Proportional to 17,038.56, 23,511.60 and 9,586.08

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Solution

The fourth proportional to 17,038.56, 23,511.60 and 9,586.08 is: 13,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,038.56 : 23,511.60 = 9,586.08 : x
  2. Step 2: Convert to fraction form
    17,038.56/23,511.60 = 9,586.08/x
  3. Step 3: Cross multiply
    17,038.56x = 23,511.60 × 9,586.08
  4. Step 4: Simplify right side
    17,038.56x = 225,384,078.53
  5. Step 5: Solve for x
    x = 225,384,078.53/17,038.56
  6. Step 6: Final answer
    x = 13,227.88

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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.