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Finding the Fourth Proportional to 14,072.67, 19,419.50 and 7,697.99

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Solution

The fourth proportional to 14,072.67, 19,419.50 and 7,697.99 is: 10,622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,072.67 : 19,419.50 = 7,697.99 : x
  2. Step 2: Convert to fraction form
    14,072.67/19,419.50 = 7,697.99/x
  3. Step 3: Cross multiply
    14,072.67x = 19,419.50 × 7,697.99
  4. Step 4: Simplify right side
    14,072.67x = 149,490,981.22
  5. Step 5: Solve for x
    x = 149,490,981.22/14,072.67
  6. Step 6: Final answer
    x = 10,622.79

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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.