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Finding the Fourth Proportional to 21,214.68, 29,274.30 and 11,782.68

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Solution

The fourth proportional to 21,214.68, 29,274.30 and 11,782.68 is: 16,259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.68 : 29,274.30 = 11,782.68 : x
  2. Step 2: Convert to fraction form
    21,214.68/29,274.30 = 11,782.68/x
  3. Step 3: Cross multiply
    21,214.68x = 29,274.30 × 11,782.68
  4. Step 4: Simplify right side
    21,214.68x = 344,929,709.12
  5. Step 5: Solve for x
    x = 344,929,709.12/21,214.68
  6. Step 6: Final answer
    x = 16,259.01

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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.