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Finding the Fourth Proportional to 21,509.64, 29,682.29 and 11,950.14

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Solution

The fourth proportional to 21,509.64, 29,682.29 and 11,950.14 is: 16,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,509.64 : 29,682.29 = 11,950.14 : x
  2. Step 2: Convert to fraction form
    21,509.64/29,682.29 = 11,950.14/x
  3. Step 3: Cross multiply
    21,509.64x = 29,682.29 × 11,950.14
  4. Step 4: Simplify right side
    21,509.64x = 354,707,461.27
  5. Step 5: Solve for x
    x = 354,707,461.27/21,509.64
  6. Step 6: Final answer
    x = 16,490.63

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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.