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Finding the Fourth Proportional to 20,263.80, 30,374.95 and 7,780.60

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Solution

The fourth proportional to 20,263.80, 30,374.95 and 7,780.60 is: 11,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,263.80 : 30,374.95 = 7,780.60 : x
  2. Step 2: Convert to fraction form
    20,263.80/30,374.95 = 7,780.60/x
  3. Step 3: Cross multiply
    20,263.80x = 30,374.95 × 7,780.60
  4. Step 4: Simplify right side
    20,263.80x = 236,335,335.97
  5. Step 5: Solve for x
    x = 236,335,335.97/20,263.80
  6. Step 6: Final answer
    x = 11,662.93

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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.