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Finding the Fourth Proportional to 20,254.25, 30,394.88 and 7,784.57

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Solution

The fourth proportional to 20,254.25, 30,394.88 and 7,784.57 is: 11,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,254.25 : 30,394.88 = 7,784.57 : x
  2. Step 2: Convert to fraction form
    20,254.25/30,394.88 = 7,784.57/x
  3. Step 3: Cross multiply
    20,254.25x = 30,394.88 × 7,784.57
  4. Step 4: Simplify right side
    20,254.25x = 236,611,071.00
  5. Step 5: Solve for x
    x = 236,611,071.00/20,254.25
  6. Step 6: Final answer
    x = 11,682.05

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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.