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Finding the Fourth Proportional to 13,144, 19,721.76 and 9,664.96

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Solution

The fourth proportional to 13,144, 19,721.76 and 9,664.96 is: 14,501.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,144 : 19,721.76 = 9,664.96 : x
  2. Step 2: Convert to fraction form
    13,144/19,721.76 = 9,664.96/x
  3. Step 3: Cross multiply
    13,144x = 19,721.76 × 9,664.96
  4. Step 4: Simplify right side
    13,144x = 190,610,021.53
  5. Step 5: Solve for x
    x = 190,610,021.53/13,144
  6. Step 6: Final answer
    x = 14,501.68

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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.