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Finding the Fourth Proportional to 26,226.34, 39,315.88 and 9,574.68

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Solution

The fourth proportional to 26,226.34, 39,315.88 and 9,574.68 is: 14,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,226.34 : 39,315.88 = 9,574.68 : x
  2. Step 2: Convert to fraction form
    26,226.34/39,315.88 = 9,574.68/x
  3. Step 3: Cross multiply
    26,226.34x = 39,315.88 × 9,574.68
  4. Step 4: Simplify right side
    26,226.34x = 376,436,969.92
  5. Step 5: Solve for x
    x = 376,436,969.92/26,226.34
  6. Step 6: Final answer
    x = 14,353.39

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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.