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Finding the Fourth Proportional to 14,111.72, 21,167.76 and 9,728

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Solution

The fourth proportional to 14,111.72, 21,167.76 and 9,728 is: 14,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.72 : 21,167.76 = 9,728 : x
  2. Step 2: Convert to fraction form
    14,111.72/21,167.76 = 9,728/x
  3. Step 3: Cross multiply
    14,111.72x = 21,167.76 × 9,728
  4. Step 4: Simplify right side
    14,111.72x = 205,919,969.28
  5. Step 5: Solve for x
    x = 205,919,969.28/14,111.72
  6. Step 6: Final answer
    x = 14,592.12

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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.