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Finding the Fourth Proportional to 12,277.70, 18,416.55 and 7,093.70

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Solution

The fourth proportional to 12,277.70, 18,416.55 and 7,093.70 is: 10,640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.70 : 18,416.55 = 7,093.70 : x
  2. Step 2: Convert to fraction form
    12,277.70/18,416.55 = 7,093.70/x
  3. Step 3: Cross multiply
    12,277.70x = 18,416.55 × 7,093.70
  4. Step 4: Simplify right side
    12,277.70x = 130,641,480.74
  5. Step 5: Solve for x
    x = 130,641,480.74/12,277.70
  6. Step 6: Final answer
    x = 10,640.55

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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.