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Finding the Fourth Proportional to 14,039.67, 19,373.89 and 7,665

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Solution

The fourth proportional to 14,039.67, 19,373.89 and 7,665 is: 10,577.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,039.67 : 19,373.89 = 7,665 : x
  2. Step 2: Convert to fraction form
    14,039.67/19,373.89 = 7,665/x
  3. Step 3: Cross multiply
    14,039.67x = 19,373.89 × 7,665
  4. Step 4: Simplify right side
    14,039.67x = 148,500,866.85
  5. Step 5: Solve for x
    x = 148,500,866.85/14,039.67
  6. Step 6: Final answer
    x = 10,577.23

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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.