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Finding the Fourth Proportional to 14,142.88, 21,194.26 and 10,415.88

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Solution

The fourth proportional to 14,142.88, 21,194.26 and 10,415.88 is: 15,609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.88 : 21,194.26 = 10,415.88 : x
  2. Step 2: Convert to fraction form
    14,142.88/21,194.26 = 10,415.88/x
  3. Step 3: Cross multiply
    14,142.88x = 21,194.26 × 10,415.88
  4. Step 4: Simplify right side
    14,142.88x = 220,756,868.85
  5. Step 5: Solve for x
    x = 220,756,868.85/14,142.88
  6. Step 6: Final answer
    x = 15,609.05

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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.