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Finding the Fourth Proportional to 19,205.90, 28,789.10 and 13,927.74

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Solution

The fourth proportional to 19,205.90, 28,789.10 and 13,927.74 is: 20,877.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205.90 : 28,789.10 = 13,927.74 : x
  2. Step 2: Convert to fraction form
    19,205.90/28,789.10 = 13,927.74/x
  3. Step 3: Cross multiply
    19,205.90x = 28,789.10 × 13,927.74
  4. Step 4: Simplify right side
    19,205.90x = 400,967,099.63
  5. Step 5: Solve for x
    x = 400,967,099.63/19,205.90
  6. Step 6: Final answer
    x = 20,877.29

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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.