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Finding the Fourth Proportional to 12,441.36, 18,655.02 and 4,647

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Solution

The fourth proportional to 12,441.36, 18,655.02 and 4,647 is: 6,967.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,441.36 : 18,655.02 = 4,647 : x
  2. Step 2: Convert to fraction form
    12,441.36/18,655.02 = 4,647/x
  3. Step 3: Cross multiply
    12,441.36x = 18,655.02 × 4,647
  4. Step 4: Simplify right side
    12,441.36x = 86,689,877.94
  5. Step 5: Solve for x
    x = 86,689,877.94/12,441.36
  6. Step 6: Final answer
    x = 6,967.88

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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.