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Finding the Fourth Proportional to 21,029.56, 29,024.13 and 12,646.06

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Solution

The fourth proportional to 21,029.56, 29,024.13 and 12,646.06 is: 17,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,029.56 : 29,024.13 = 12,646.06 : x
  2. Step 2: Convert to fraction form
    21,029.56/29,024.13 = 12,646.06/x
  3. Step 3: Cross multiply
    21,029.56x = 29,024.13 × 12,646.06
  4. Step 4: Simplify right side
    21,029.56x = 367,040,889.43
  5. Step 5: Solve for x
    x = 367,040,889.43/21,029.56
  6. Step 6: Final answer
    x = 17,453.57

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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.