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Finding the Fourth Proportional to 13,438.49, 18,545.33 and 7,388.98

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Solution

The fourth proportional to 13,438.49, 18,545.33 and 7,388.98 is: 10,196.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.49 : 18,545.33 = 7,388.98 : x
  2. Step 2: Convert to fraction form
    13,438.49/18,545.33 = 7,388.98/x
  3. Step 3: Cross multiply
    13,438.49x = 18,545.33 × 7,388.98
  4. Step 4: Simplify right side
    13,438.49x = 137,031,044.57
  5. Step 5: Solve for x
    x = 137,031,044.57/13,438.49
  6. Step 6: Final answer
    x = 10,196.91

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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.