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Finding the Fourth Proportional to 12,586.79, 18,853.76 and 6,006.35

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Solution

The fourth proportional to 12,586.79, 18,853.76 and 6,006.35 is: 8,996.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.79 : 18,853.76 = 6,006.35 : x
  2. Step 2: Convert to fraction form
    12,586.79/18,853.76 = 6,006.35/x
  3. Step 3: Cross multiply
    12,586.79x = 18,853.76 × 6,006.35
  4. Step 4: Simplify right side
    12,586.79x = 113,242,343.53
  5. Step 5: Solve for x
    x = 113,242,343.53/12,586.79
  6. Step 6: Final answer
    x = 8,996.92

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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.