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Finding the Fourth Proportional to 17,834.90, 26,872.96 and 14,782.82

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Solution

The fourth proportional to 17,834.90, 26,872.96 and 14,782.82 is: 22,274.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,834.90 : 26,872.96 = 14,782.82 : x
  2. Step 2: Convert to fraction form
    17,834.90/26,872.96 = 14,782.82/x
  3. Step 3: Cross multiply
    17,834.90x = 26,872.96 × 14,782.82
  4. Step 4: Simplify right side
    17,834.90x = 397,258,056.63
  5. Step 5: Solve for x
    x = 397,258,056.63/17,834.90
  6. Step 6: Final answer
    x = 22,274.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.