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Finding the Fourth Proportional to 13,238.04, 19,857.03 and 10,318.50

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Solution

The fourth proportional to 13,238.04, 19,857.03 and 10,318.50 is: 15,477.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.04 : 19,857.03 = 10,318.50 : x
  2. Step 2: Convert to fraction form
    13,238.04/19,857.03 = 10,318.50/x
  3. Step 3: Cross multiply
    13,238.04x = 19,857.03 × 10,318.50
  4. Step 4: Simplify right side
    13,238.04x = 204,894,764.06
  5. Step 5: Solve for x
    x = 204,894,764.06/13,238.04
  6. Step 6: Final answer
    x = 15,477.73

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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.