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Finding the Fourth Proportional to 19,673.28, 29,502.09 and 7,190.46

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Solution

The fourth proportional to 19,673.28, 29,502.09 and 7,190.46 is: 10,782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.28 : 29,502.09 = 7,190.46 : x
  2. Step 2: Convert to fraction form
    19,673.28/29,502.09 = 7,190.46/x
  3. Step 3: Cross multiply
    19,673.28x = 29,502.09 × 7,190.46
  4. Step 4: Simplify right side
    19,673.28x = 212,133,598.06
  5. Step 5: Solve for x
    x = 212,133,598.06/19,673.28
  6. Step 6: Final answer
    x = 10,782.83

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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.