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Finding the Fourth Proportional to 12,307.69, 18,459.72 and 3,988.44

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Solution

The fourth proportional to 12,307.69, 18,459.72 and 3,988.44 is: 5,982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.69 : 18,459.72 = 3,988.44 : x
  2. Step 2: Convert to fraction form
    12,307.69/18,459.72 = 3,988.44/x
  3. Step 3: Cross multiply
    12,307.69x = 18,459.72 × 3,988.44
  4. Step 4: Simplify right side
    12,307.69x = 73,625,373.40
  5. Step 5: Solve for x
    x = 73,625,373.40/12,307.69
  6. Step 6: Final answer
    x = 5,982.06

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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.