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Finding the Fourth Proportional to 26,289.34, 39,428.07 and 7,569.34

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Solution

The fourth proportional to 26,289.34, 39,428.07 and 7,569.34 is: 11,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,289.34 : 39,428.07 = 7,569.34 : x
  2. Step 2: Convert to fraction form
    26,289.34/39,428.07 = 7,569.34/x
  3. Step 3: Cross multiply
    26,289.34x = 39,428.07 × 7,569.34
  4. Step 4: Simplify right side
    26,289.34x = 298,444,467.37
  5. Step 5: Solve for x
    x = 298,444,467.37/26,289.34
  6. Step 6: Final answer
    x = 11,352.30

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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.