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Finding the Fourth Proportional to 19,927.70, 29,890.53 and 6,780.32

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Solution

The fourth proportional to 19,927.70, 29,890.53 and 6,780.32 is: 10,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,927.70 : 29,890.53 = 6,780.32 : x
  2. Step 2: Convert to fraction form
    19,927.70/29,890.53 = 6,780.32/x
  3. Step 3: Cross multiply
    19,927.70x = 29,890.53 × 6,780.32
  4. Step 4: Simplify right side
    19,927.70x = 202,667,358.37
  5. Step 5: Solve for x
    x = 202,667,358.37/19,927.70
  6. Step 6: Final answer
    x = 10,170.13

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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.