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Finding the Fourth Proportional to 12,387.18, 18,586.02 and 8,228.64

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Solution

The fourth proportional to 12,387.18, 18,586.02 and 8,228.64 is: 12,346.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,387.18 : 18,586.02 = 8,228.64 : x
  2. Step 2: Convert to fraction form
    12,387.18/18,586.02 = 8,228.64/x
  3. Step 3: Cross multiply
    12,387.18x = 18,586.02 × 8,228.64
  4. Step 4: Simplify right side
    12,387.18x = 152,937,667.61
  5. Step 5: Solve for x
    x = 152,937,667.61/12,387.18
  6. Step 6: Final answer
    x = 12,346.45

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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.