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Finding the Fourth Proportional to 14,493.85, 21,697.01 and 13,107.84

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Solution

The fourth proportional to 14,493.85, 21,697.01 and 13,107.84 is: 19,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,493.85 : 21,697.01 = 13,107.84 : x
  2. Step 2: Convert to fraction form
    14,493.85/21,697.01 = 13,107.84/x
  3. Step 3: Cross multiply
    14,493.85x = 21,697.01 × 13,107.84
  4. Step 4: Simplify right side
    14,493.85x = 284,400,859.10
  5. Step 5: Solve for x
    x = 284,400,859.10/14,493.85
  6. Step 6: Final answer
    x = 19,622.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.