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Finding the Fourth Proportional to 26,497, 39,763.74 and 10,914.64

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Solution

The fourth proportional to 26,497, 39,763.74 and 10,914.64 is: 16,379.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,497 : 39,763.74 = 10,914.64 : x
  2. Step 2: Convert to fraction form
    26,497/39,763.74 = 10,914.64/x
  3. Step 3: Cross multiply
    26,497x = 39,763.74 × 10,914.64
  4. Step 4: Simplify right side
    26,497x = 434,006,907.15
  5. Step 5: Solve for x
    x = 434,006,907.15/26,497
  6. Step 6: Final answer
    x = 16,379.47

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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.