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Finding the Fourth Proportional to 19,664.51, 29,496.69 and 7,977.69

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Solution

The fourth proportional to 19,664.51, 29,496.69 and 7,977.69 is: 11,966.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,664.51 : 29,496.69 = 7,977.69 : x
  2. Step 2: Convert to fraction form
    19,664.51/29,496.69 = 7,977.69/x
  3. Step 3: Cross multiply
    19,664.51x = 29,496.69 × 7,977.69
  4. Step 4: Simplify right side
    19,664.51x = 235,315,448.85
  5. Step 5: Solve for x
    x = 235,315,448.85/19,664.51
  6. Step 6: Final answer
    x = 11,966.51

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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.