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Finding the Fourth Proportional to 14,313.90, 19,751.30 and 7,940.42

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Solution

The fourth proportional to 14,313.90, 19,751.30 and 7,940.42 is: 10,956.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,313.90 : 19,751.30 = 7,940.42 : x
  2. Step 2: Convert to fraction form
    14,313.90/19,751.30 = 7,940.42/x
  3. Step 3: Cross multiply
    14,313.90x = 19,751.30 × 7,940.42
  4. Step 4: Simplify right side
    14,313.90x = 156,833,617.55
  5. Step 5: Solve for x
    x = 156,833,617.55/14,313.90
  6. Step 6: Final answer
    x = 10,956.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.