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Finding the Fourth Proportional to 26,289.84, 39,434.85 and 6,568.40

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Solution

The fourth proportional to 26,289.84, 39,434.85 and 6,568.40 is: 9,852.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,289.84 : 39,434.85 = 6,568.40 : x
  2. Step 2: Convert to fraction form
    26,289.84/39,434.85 = 6,568.40/x
  3. Step 3: Cross multiply
    26,289.84x = 39,434.85 × 6,568.40
  4. Step 4: Simplify right side
    26,289.84x = 259,023,967.33
  5. Step 5: Solve for x
    x = 259,023,967.33/26,289.84
  6. Step 6: Final answer
    x = 9,852.62

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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.