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Finding the Fourth Proportional to 13,784.30, 20,653.65 and 7,930.70

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Solution

The fourth proportional to 13,784.30, 20,653.65 and 7,930.70 is: 11,882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.30 : 20,653.65 = 7,930.70 : x
  2. Step 2: Convert to fraction form
    13,784.30/20,653.65 = 7,930.70/x
  3. Step 3: Cross multiply
    13,784.30x = 20,653.65 × 7,930.70
  4. Step 4: Simplify right side
    13,784.30x = 163,797,902.06
  5. Step 5: Solve for x
    x = 163,797,902.06/13,784.30
  6. Step 6: Final answer
    x = 11,882.93

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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.