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Finding the Fourth Proportional to 12,376.50, 18,567.63 and 4,168.50

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Solution

The fourth proportional to 12,376.50, 18,567.63 and 4,168.50 is: 6,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.50 : 18,567.63 = 4,168.50 : x
  2. Step 2: Convert to fraction form
    12,376.50/18,567.63 = 4,168.50/x
  3. Step 3: Cross multiply
    12,376.50x = 18,567.63 × 4,168.50
  4. Step 4: Simplify right side
    12,376.50x = 77,399,165.66
  5. Step 5: Solve for x
    x = 77,399,165.66/12,376.50
  6. Step 6: Final answer
    x = 6,253.72

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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.