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Finding the Fourth Proportional to 26,428.57, 39,617.43 and 9,784.08

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Solution

The fourth proportional to 26,428.57, 39,617.43 and 9,784.08 is: 14,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,428.57 : 39,617.43 = 9,784.08 : x
  2. Step 2: Convert to fraction form
    26,428.57/39,617.43 = 9,784.08/x
  3. Step 3: Cross multiply
    26,428.57x = 39,617.43 × 9,784.08
  4. Step 4: Simplify right side
    26,428.57x = 387,620,104.51
  5. Step 5: Solve for x
    x = 387,620,104.51/26,428.57
  6. Step 6: Final answer
    x = 14,666.71

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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.