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Finding the Fourth Proportional to 19,284.30, 28,930.83 and 8,191.35

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Solution

The fourth proportional to 19,284.30, 28,930.83 and 8,191.35 is: 12,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,284.30 : 28,930.83 = 8,191.35 : x
  2. Step 2: Convert to fraction form
    19,284.30/28,930.83 = 8,191.35/x
  3. Step 3: Cross multiply
    19,284.30x = 28,930.83 × 8,191.35
  4. Step 4: Simplify right side
    19,284.30x = 236,982,554.32
  5. Step 5: Solve for x
    x = 236,982,554.32/19,284.30
  6. Step 6: Final answer
    x = 12,288.89

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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.