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Finding the Fourth Proportional to 14,137.28, 19,509.99 and 7,850.84

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Solution

The fourth proportional to 14,137.28, 19,509.99 and 7,850.84 is: 10,834.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.28 : 19,509.99 = 7,850.84 : x
  2. Step 2: Convert to fraction form
    14,137.28/19,509.99 = 7,850.84/x
  3. Step 3: Cross multiply
    14,137.28x = 19,509.99 × 7,850.84
  4. Step 4: Simplify right side
    14,137.28x = 153,169,809.89
  5. Step 5: Solve for x
    x = 153,169,809.89/14,137.28
  6. Step 6: Final answer
    x = 10,834.46

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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.