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Finding the Fourth Proportional to 21,034.94, 29,027.75 and 11,603.50

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Solution

The fourth proportional to 21,034.94, 29,027.75 and 11,603.50 is: 16,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.94 : 29,027.75 = 11,603.50 : x
  2. Step 2: Convert to fraction form
    21,034.94/29,027.75 = 11,603.50/x
  3. Step 3: Cross multiply
    21,034.94x = 29,027.75 × 11,603.50
  4. Step 4: Simplify right side
    21,034.94x = 336,823,497.13
  5. Step 5: Solve for x
    x = 336,823,497.13/21,034.94
  6. Step 6: Final answer
    x = 16,012.57

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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.