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Finding the Fourth Proportional to 13,185.76, 19,788.72 and 9,724

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Solution

The fourth proportional to 13,185.76, 19,788.72 and 9,724 is: 14,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185.76 : 19,788.72 = 9,724 : x
  2. Step 2: Convert to fraction form
    13,185.76/19,788.72 = 9,724/x
  3. Step 3: Cross multiply
    13,185.76x = 19,788.72 × 9,724
  4. Step 4: Simplify right side
    13,185.76x = 192,425,513.28
  5. Step 5: Solve for x
    x = 192,425,513.28/13,185.76
  6. Step 6: Final answer
    x = 14,593.43

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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.