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Finding the Fourth Proportional to 18,883.90, 28,305.06 and 7,784.50

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Solution

The fourth proportional to 18,883.90, 28,305.06 and 7,784.50 is: 11,668.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,883.90 : 28,305.06 = 7,784.50 : x
  2. Step 2: Convert to fraction form
    18,883.90/28,305.06 = 7,784.50/x
  3. Step 3: Cross multiply
    18,883.90x = 28,305.06 × 7,784.50
  4. Step 4: Simplify right side
    18,883.90x = 220,340,739.57
  5. Step 5: Solve for x
    x = 220,340,739.57/18,883.90
  6. Step 6: Final answer
    x = 11,668.18

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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.