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Finding the Fourth Proportional to 12,420.40, 18,630.57 and 3,186.40

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Solution

The fourth proportional to 12,420.40, 18,630.57 and 3,186.40 is: 4,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420.40 : 18,630.57 = 3,186.40 : x
  2. Step 2: Convert to fraction form
    12,420.40/18,630.57 = 3,186.40/x
  3. Step 3: Cross multiply
    12,420.40x = 18,630.57 × 3,186.40
  4. Step 4: Simplify right side
    12,420.40x = 59,364,448.25
  5. Step 5: Solve for x
    x = 59,364,448.25/12,420.40
  6. Step 6: Final answer
    x = 4,779.59

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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.