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Finding the Fourth Proportional to 13,414.98, 20,126.59 and 6,403.94

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Solution

The fourth proportional to 13,414.98, 20,126.59 and 6,403.94 is: 9,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.98 : 20,126.59 = 6,403.94 : x
  2. Step 2: Convert to fraction form
    13,414.98/20,126.59 = 6,403.94/x
  3. Step 3: Cross multiply
    13,414.98x = 20,126.59 × 6,403.94
  4. Step 4: Simplify right side
    13,414.98x = 128,889,474.76
  5. Step 5: Solve for x
    x = 128,889,474.76/13,414.98
  6. Step 6: Final answer
    x = 9,607.88

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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.