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Finding the Fourth Proportional to 13,400.77, 18,493.49 and 7,432.99

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Solution

The fourth proportional to 13,400.77, 18,493.49 and 7,432.99 is: 10,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.77 : 18,493.49 = 7,432.99 : x
  2. Step 2: Convert to fraction form
    13,400.77/18,493.49 = 7,432.99/x
  3. Step 3: Cross multiply
    13,400.77x = 18,493.49 × 7,432.99
  4. Step 4: Simplify right side
    13,400.77x = 137,461,926.24
  5. Step 5: Solve for x
    x = 137,461,926.24/13,400.77
  6. Step 6: Final answer
    x = 10,257.76

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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.