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Finding the Fourth Proportional to 13,136.14, 19,707.02 and 3,776.07

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Solution

The fourth proportional to 13,136.14, 19,707.02 and 3,776.07 is: 5,664.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.14 : 19,707.02 = 3,776.07 : x
  2. Step 2: Convert to fraction form
    13,136.14/19,707.02 = 3,776.07/x
  3. Step 3: Cross multiply
    13,136.14x = 19,707.02 × 3,776.07
  4. Step 4: Simplify right side
    13,136.14x = 74,415,087.01
  5. Step 5: Solve for x
    x = 74,415,087.01/13,136.14
  6. Step 6: Final answer
    x = 5,664.91

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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.