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Finding the Fourth Proportional to 26,222.40, 39,337.20 and 9,578.40

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Solution

The fourth proportional to 26,222.40, 39,337.20 and 9,578.40 is: 14,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,222.40 : 39,337.20 = 9,578.40 : x
  2. Step 2: Convert to fraction form
    26,222.40/39,337.20 = 9,578.40/x
  3. Step 3: Cross multiply
    26,222.40x = 39,337.20 × 9,578.40
  4. Step 4: Simplify right side
    26,222.40x = 376,787,436.48
  5. Step 5: Solve for x
    x = 376,787,436.48/26,222.40
  6. Step 6: Final answer
    x = 14,368.91

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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.