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Finding the Fourth Proportional to 12,971.52, 17,863.05 and 11,269.26

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Solution

The fourth proportional to 12,971.52, 17,863.05 and 11,269.26 is: 15,518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.52 : 17,863.05 = 11,269.26 : x
  2. Step 2: Convert to fraction form
    12,971.52/17,863.05 = 11,269.26/x
  3. Step 3: Cross multiply
    12,971.52x = 17,863.05 × 11,269.26
  4. Step 4: Simplify right side
    12,971.52x = 201,303,354.84
  5. Step 5: Solve for x
    x = 201,303,354.84/12,971.52
  6. Step 6: Final answer
    x = 15,518.87

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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.