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Finding the Fourth Proportional to 12,309.67, 18,460.64 and 3,987.77

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Solution

The fourth proportional to 12,309.67, 18,460.64 and 3,987.77 is: 5,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.67 : 18,460.64 = 3,987.77 : x
  2. Step 2: Convert to fraction form
    12,309.67/18,460.64 = 3,987.77/x
  3. Step 3: Cross multiply
    12,309.67x = 18,460.64 × 3,987.77
  4. Step 4: Simplify right side
    12,309.67x = 73,616,704.04
  5. Step 5: Solve for x
    x = 73,616,704.04/12,309.67
  6. Step 6: Final answer
    x = 5,980.40

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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.