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Finding the Fourth Proportional to 14,496.89, 21,744.65 and 5,136.76

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Solution

The fourth proportional to 14,496.89, 21,744.65 and 5,136.76 is: 7,704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.89 : 21,744.65 = 5,136.76 : x
  2. Step 2: Convert to fraction form
    14,496.89/21,744.65 = 5,136.76/x
  3. Step 3: Cross multiply
    14,496.89x = 21,744.65 × 5,136.76
  4. Step 4: Simplify right side
    14,496.89x = 111,697,006.81
  5. Step 5: Solve for x
    x = 111,697,006.81/14,496.89
  6. Step 6: Final answer
    x = 7,704.89

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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.