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Finding the Fourth Proportional to 14,830.67, 20,488.57 and 9,738.27

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Solution

The fourth proportional to 14,830.67, 20,488.57 and 9,738.27 is: 13,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.67 : 20,488.57 = 9,738.27 : x
  2. Step 2: Convert to fraction form
    14,830.67/20,488.57 = 9,738.27/x
  3. Step 3: Cross multiply
    14,830.67x = 20,488.57 × 9,738.27
  4. Step 4: Simplify right side
    14,830.67x = 199,523,202.23
  5. Step 5: Solve for x
    x = 199,523,202.23/14,830.67
  6. Step 6: Final answer
    x = 13,453.42

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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.