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Finding the Fourth Proportional to 26,097, 36,013.64 and 14,766.40

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Solution

The fourth proportional to 26,097, 36,013.64 and 14,766.40 is: 20,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,097 : 36,013.64 = 14,766.40 : x
  2. Step 2: Convert to fraction form
    26,097/36,013.64 = 14,766.40/x
  3. Step 3: Cross multiply
    26,097x = 36,013.64 × 14,766.40
  4. Step 4: Simplify right side
    26,097x = 531,791,813.70
  5. Step 5: Solve for x
    x = 531,791,813.70/26,097
  6. Step 6: Final answer
    x = 20,377.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.