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Finding the Fourth Proportional to 12,394.56, 18,586.73 and 6,152.28

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Solution

The fourth proportional to 12,394.56, 18,586.73 and 6,152.28 is: 9,225.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.56 : 18,586.73 = 6,152.28 : x
  2. Step 2: Convert to fraction form
    12,394.56/18,586.73 = 6,152.28/x
  3. Step 3: Cross multiply
    12,394.56x = 18,586.73 × 6,152.28
  4. Step 4: Simplify right side
    12,394.56x = 114,350,767.24
  5. Step 5: Solve for x
    x = 114,350,767.24/12,394.56
  6. Step 6: Final answer
    x = 9,225.88

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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.