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Finding the Fourth Proportional to 12,697.20, 19,045.80 and 5,771.70

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Solution

The fourth proportional to 12,697.20, 19,045.80 and 5,771.70 is: 8,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.20 : 19,045.80 = 5,771.70 : x
  2. Step 2: Convert to fraction form
    12,697.20/19,045.80 = 5,771.70/x
  3. Step 3: Cross multiply
    12,697.20x = 19,045.80 × 5,771.70
  4. Step 4: Simplify right side
    12,697.20x = 109,926,643.86
  5. Step 5: Solve for x
    x = 109,926,643.86/12,697.20
  6. Step 6: Final answer
    x = 8,657.55

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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.