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Finding the Fourth Proportional to 12,653.12, 18,954.16 and 10,593.69

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Solution

The fourth proportional to 12,653.12, 18,954.16 and 10,593.69 is: 15,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.12 : 18,954.16 = 10,593.69 : x
  2. Step 2: Convert to fraction form
    12,653.12/18,954.16 = 10,593.69/x
  3. Step 3: Cross multiply
    12,653.12x = 18,954.16 × 10,593.69
  4. Step 4: Simplify right side
    12,653.12x = 200,794,468.77
  5. Step 5: Solve for x
    x = 200,794,468.77/12,653.12
  6. Step 6: Final answer
    x = 15,869.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.