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Finding the Fourth Proportional to 14,137.69, 19,509.23 and 7,765.12

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Solution

The fourth proportional to 14,137.69, 19,509.23 and 7,765.12 is: 10,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.69 : 19,509.23 = 7,765.12 : x
  2. Step 2: Convert to fraction form
    14,137.69/19,509.23 = 7,765.12/x
  3. Step 3: Cross multiply
    14,137.69x = 19,509.23 × 7,765.12
  4. Step 4: Simplify right side
    14,137.69x = 151,491,457.04
  5. Step 5: Solve for x
    x = 151,491,457.04/14,137.69
  6. Step 6: Final answer
    x = 10,715.43

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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.