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Finding the Fourth Proportional to 26,428.68, 39,612.78 and 10,827

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Solution

The fourth proportional to 26,428.68, 39,612.78 and 10,827 is: 16,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,428.68 : 39,612.78 = 10,827 : x
  2. Step 2: Convert to fraction form
    26,428.68/39,612.78 = 10,827/x
  3. Step 3: Cross multiply
    26,428.68x = 39,612.78 × 10,827
  4. Step 4: Simplify right side
    26,428.68x = 428,887,569.06
  5. Step 5: Solve for x
    x = 428,887,569.06/26,428.68
  6. Step 6: Final answer
    x = 16,228.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.