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Finding the Fourth Proportional to 12,302.42, 18,453.63 and 3,068.42

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Solution

The fourth proportional to 12,302.42, 18,453.63 and 3,068.42 is: 4,602.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.42 : 18,453.63 = 3,068.42 : x
  2. Step 2: Convert to fraction form
    12,302.42/18,453.63 = 3,068.42/x
  3. Step 3: Cross multiply
    12,302.42x = 18,453.63 × 3,068.42
  4. Step 4: Simplify right side
    12,302.42x = 56,623,487.36
  5. Step 5: Solve for x
    x = 56,623,487.36/12,302.42
  6. Step 6: Final answer
    x = 4,602.63

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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.