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Finding the Fourth Proportional to 13,400.52, 18,493.01 and 7,431.99

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Solution

The fourth proportional to 13,400.52, 18,493.01 and 7,431.99 is: 10,256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.52 : 18,493.01 = 7,431.99 : x
  2. Step 2: Convert to fraction form
    13,400.52/18,493.01 = 7,431.99/x
  3. Step 3: Cross multiply
    13,400.52x = 18,493.01 × 7,431.99
  4. Step 4: Simplify right side
    13,400.52x = 137,439,828.23
  5. Step 5: Solve for x
    x = 137,439,828.23/13,400.52
  6. Step 6: Final answer
    x = 10,256.31

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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.