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Finding the Fourth Proportional to 19,386.28, 29,079.42 and 5,346.46

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Solution

The fourth proportional to 19,386.28, 29,079.42 and 5,346.46 is: 8,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,386.28 : 29,079.42 = 5,346.46 : x
  2. Step 2: Convert to fraction form
    19,386.28/29,079.42 = 5,346.46/x
  3. Step 3: Cross multiply
    19,386.28x = 29,079.42 × 5,346.46
  4. Step 4: Simplify right side
    19,386.28x = 155,471,955.85
  5. Step 5: Solve for x
    x = 155,471,955.85/19,386.28
  6. Step 6: Final answer
    x = 8,019.69

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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.