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Finding the Fourth Proportional to 13,200, 19,789.68 and 6,951.84

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Solution

The fourth proportional to 13,200, 19,789.68 and 6,951.84 is: 10,422.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,200 : 19,789.68 = 6,951.84 : x
  2. Step 2: Convert to fraction form
    13,200/19,789.68 = 6,951.84/x
  3. Step 3: Cross multiply
    13,200x = 19,789.68 × 6,951.84
  4. Step 4: Simplify right side
    13,200x = 137,574,689.01
  5. Step 5: Solve for x
    x = 137,574,689.01/13,200
  6. Step 6: Final answer
    x = 10,422.32

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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.