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Finding the Fourth Proportional to 13,941.66, 19,234.78 and 7,969.10

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Solution

The fourth proportional to 13,941.66, 19,234.78 and 7,969.10 is: 10,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,941.66 : 19,234.78 = 7,969.10 : x
  2. Step 2: Convert to fraction form
    13,941.66/19,234.78 = 7,969.10/x
  3. Step 3: Cross multiply
    13,941.66x = 19,234.78 × 7,969.10
  4. Step 4: Simplify right side
    13,941.66x = 153,283,913.46
  5. Step 5: Solve for x
    x = 153,283,913.46/13,941.66
  6. Step 6: Final answer
    x = 10,994.67

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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.