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Finding the Fourth Proportional to 12,282.30, 18,423.45 and 4,074.30

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Solution

The fourth proportional to 12,282.30, 18,423.45 and 4,074.30 is: 6,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.30 : 18,423.45 = 4,074.30 : x
  2. Step 2: Convert to fraction form
    12,282.30/18,423.45 = 4,074.30/x
  3. Step 3: Cross multiply
    12,282.30x = 18,423.45 × 4,074.30
  4. Step 4: Simplify right side
    12,282.30x = 75,062,662.34
  5. Step 5: Solve for x
    x = 75,062,662.34/12,282.30
  6. Step 6: Final answer
    x = 6,111.45

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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.