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Finding the Fourth Proportional to 19,728.40, 29,578.02 and 9,328

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Solution

The fourth proportional to 19,728.40, 29,578.02 and 9,328 is: 13,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728.40 : 29,578.02 = 9,328 : x
  2. Step 2: Convert to fraction form
    19,728.40/29,578.02 = 9,328/x
  3. Step 3: Cross multiply
    19,728.40x = 29,578.02 × 9,328
  4. Step 4: Simplify right side
    19,728.40x = 275,903,770.56
  5. Step 5: Solve for x
    x = 275,903,770.56/19,728.40
  6. Step 6: Final answer
    x = 13,985.11

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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.