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Finding the Fourth Proportional to 13,128.66, 19,693.05 and 3,768.84

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Solution

The fourth proportional to 13,128.66, 19,693.05 and 3,768.84 is: 5,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,128.66 : 19,693.05 = 3,768.84 : x
  2. Step 2: Convert to fraction form
    13,128.66/19,693.05 = 3,768.84/x
  3. Step 3: Cross multiply
    13,128.66x = 19,693.05 × 3,768.84
  4. Step 4: Simplify right side
    13,128.66x = 74,219,954.56
  5. Step 5: Solve for x
    x = 74,219,954.56/13,128.66
  6. Step 6: Final answer
    x = 5,653.28

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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.