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Finding the Fourth Proportional to 12,145.41, 16,765.35 and 9,493.68

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Solution

The fourth proportional to 12,145.41, 16,765.35 and 9,493.68 is: 13,104.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.41 : 16,765.35 = 9,493.68 : x
  2. Step 2: Convert to fraction form
    12,145.41/16,765.35 = 9,493.68/x
  3. Step 3: Cross multiply
    12,145.41x = 16,765.35 × 9,493.68
  4. Step 4: Simplify right side
    12,145.41x = 159,164,867.99
  5. Step 5: Solve for x
    x = 159,164,867.99/12,145.41
  6. Step 6: Final answer
    x = 13,104.94

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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.