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Finding the Fourth Proportional to 25,191.62, 37,783.18 and 7,178.58

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Solution

The fourth proportional to 25,191.62, 37,783.18 and 7,178.58 is: 10,766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,191.62 : 37,783.18 = 7,178.58 : x
  2. Step 2: Convert to fraction form
    25,191.62/37,783.18 = 7,178.58/x
  3. Step 3: Cross multiply
    25,191.62x = 37,783.18 × 7,178.58
  4. Step 4: Simplify right side
    25,191.62x = 271,229,580.28
  5. Step 5: Solve for x
    x = 271,229,580.28/25,191.62
  6. Step 6: Final answer
    x = 10,766.66

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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.