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Finding the Fourth Proportional to 12,277.36, 18,403.08 and 6,655.96

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Solution

The fourth proportional to 12,277.36, 18,403.08 and 6,655.96 is: 9,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.36 : 18,403.08 = 6,655.96 : x
  2. Step 2: Convert to fraction form
    12,277.36/18,403.08 = 6,655.96/x
  3. Step 3: Cross multiply
    12,277.36x = 18,403.08 × 6,655.96
  4. Step 4: Simplify right side
    12,277.36x = 122,490,164.36
  5. Step 5: Solve for x
    x = 122,490,164.36/12,277.36
  6. Step 6: Final answer
    x = 9,976.91

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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.