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Finding the Fourth Proportional to 14,319.87, 21,488.31 and 7,745.91

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Solution

The fourth proportional to 14,319.87, 21,488.31 and 7,745.91 is: 11,623.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.87 : 21,488.31 = 7,745.91 : x
  2. Step 2: Convert to fraction form
    14,319.87/21,488.31 = 7,745.91/x
  3. Step 3: Cross multiply
    14,319.87x = 21,488.31 × 7,745.91
  4. Step 4: Simplify right side
    14,319.87x = 166,446,515.31
  5. Step 5: Solve for x
    x = 166,446,515.31/14,319.87
  6. Step 6: Final answer
    x = 11,623.47

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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.