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Finding the Fourth Proportional to 14,074.88, 21,107.20 and 13,429.76

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Solution

The fourth proportional to 14,074.88, 21,107.20 and 13,429.76 is: 20,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.88 : 21,107.20 = 13,429.76 : x
  2. Step 2: Convert to fraction form
    14,074.88/21,107.20 = 13,429.76/x
  3. Step 3: Cross multiply
    14,074.88x = 21,107.20 × 13,429.76
  4. Step 4: Simplify right side
    14,074.88x = 283,464,630.27
  5. Step 5: Solve for x
    x = 283,464,630.27/14,074.88
  6. Step 6: Final answer
    x = 20,139.75

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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.