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Finding the Fourth Proportional to 19,614.88, 29,422.53 and 7,771.53

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Solution

The fourth proportional to 19,614.88, 29,422.53 and 7,771.53 is: 11,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,614.88 : 29,422.53 = 7,771.53 : x
  2. Step 2: Convert to fraction form
    19,614.88/29,422.53 = 7,771.53/x
  3. Step 3: Cross multiply
    19,614.88x = 29,422.53 × 7,771.53
  4. Step 4: Simplify right side
    19,614.88x = 228,658,184.91
  5. Step 5: Solve for x
    x = 228,658,184.91/19,614.88
  6. Step 6: Final answer
    x = 11,657.38

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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.