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Finding the Fourth Proportional to 19,450.19, 29,147.67 and 14,991

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Solution

The fourth proportional to 19,450.19, 29,147.67 and 14,991 is: 22,465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,450.19 : 29,147.67 = 14,991 : x
  2. Step 2: Convert to fraction form
    19,450.19/29,147.67 = 14,991/x
  3. Step 3: Cross multiply
    19,450.19x = 29,147.67 × 14,991
  4. Step 4: Simplify right side
    19,450.19x = 436,952,720.97
  5. Step 5: Solve for x
    x = 436,952,720.97/19,450.19
  6. Step 6: Final answer
    x = 22,465.22

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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.