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Finding the Fourth Proportional to 13,238.90, 19,865.64 and 8,864.90

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Solution

The fourth proportional to 13,238.90, 19,865.64 and 8,864.90 is: 13,302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.90 : 19,865.64 = 8,864.90 : x
  2. Step 2: Convert to fraction form
    13,238.90/19,865.64 = 8,864.90/x
  3. Step 3: Cross multiply
    13,238.90x = 19,865.64 × 8,864.90
  4. Step 4: Simplify right side
    13,238.90x = 176,106,912.04
  5. Step 5: Solve for x
    x = 176,106,912.04/13,238.90
  6. Step 6: Final answer
    x = 13,302.23

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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.