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Finding the Fourth Proportional to 12,830.28, 19,243.55 and 3,470.84

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Solution

The fourth proportional to 12,830.28, 19,243.55 and 3,470.84 is: 5,205.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.28 : 19,243.55 = 3,470.84 : x
  2. Step 2: Convert to fraction form
    12,830.28/19,243.55 = 3,470.84/x
  3. Step 3: Cross multiply
    12,830.28x = 19,243.55 × 3,470.84
  4. Step 4: Simplify right side
    12,830.28x = 66,791,169.51
  5. Step 5: Solve for x
    x = 66,791,169.51/12,830.28
  6. Step 6: Final answer
    x = 5,205.75

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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.