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Finding the Fourth Proportional to 12,420.32, 18,630.46 and 3,186.32

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Solution

The fourth proportional to 12,420.32, 18,630.46 and 3,186.32 is: 4,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420.32 : 18,630.46 = 3,186.32 : x
  2. Step 2: Convert to fraction form
    12,420.32/18,630.46 = 3,186.32/x
  3. Step 3: Cross multiply
    12,420.32x = 18,630.46 × 3,186.32
  4. Step 4: Simplify right side
    12,420.32x = 59,362,607.31
  5. Step 5: Solve for x
    x = 59,362,607.31/12,420.32
  6. Step 6: Final answer
    x = 4,779.47

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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.