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Finding the Fourth Proportional to 12,421.96, 18,634.20 and 4,102

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Solution

The fourth proportional to 12,421.96, 18,634.20 and 4,102 is: 6,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421.96 : 18,634.20 = 4,102 : x
  2. Step 2: Convert to fraction form
    12,421.96/18,634.20 = 4,102/x
  3. Step 3: Cross multiply
    12,421.96x = 18,634.20 × 4,102
  4. Step 4: Simplify right side
    12,421.96x = 76,437,488.40
  5. Step 5: Solve for x
    x = 76,437,488.40/12,421.96
  6. Step 6: Final answer
    x = 6,153.42

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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.