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Finding the Fourth Proportional to 26,071.96, 39,107.92 and 9,428.09

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Solution

The fourth proportional to 26,071.96, 39,107.92 and 9,428.09 is: 14,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,071.96 : 39,107.92 = 9,428.09 : x
  2. Step 2: Convert to fraction form
    26,071.96/39,107.92 = 9,428.09/x
  3. Step 3: Cross multiply
    26,071.96x = 39,107.92 × 9,428.09
  4. Step 4: Simplify right side
    26,071.96x = 368,712,989.47
  5. Step 5: Solve for x
    x = 368,712,989.47/26,071.96
  6. Step 6: Final answer
    x = 14,142.13

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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.