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Finding the Fourth Proportional to 12,307.29, 18,462.93 and 3,989.40

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Solution

The fourth proportional to 12,307.29, 18,462.93 and 3,989.40 is: 5,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.29 : 18,462.93 = 3,989.40 : x
  2. Step 2: Convert to fraction form
    12,307.29/18,462.93 = 3,989.40/x
  3. Step 3: Cross multiply
    12,307.29x = 18,462.93 × 3,989.40
  4. Step 4: Simplify right side
    12,307.29x = 73,656,012.94
  5. Step 5: Solve for x
    x = 73,656,012.94/12,307.29
  6. Step 6: Final answer
    x = 5,984.75

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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.