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Finding the Fourth Proportional to 12,154.87, 18,214.08 and 9,377.38

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Solution

The fourth proportional to 12,154.87, 18,214.08 and 9,377.38 is: 14,052.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,154.87 : 18,214.08 = 9,377.38 : x
  2. Step 2: Convert to fraction form
    12,154.87/18,214.08 = 9,377.38/x
  3. Step 3: Cross multiply
    12,154.87x = 18,214.08 × 9,377.38
  4. Step 4: Simplify right side
    12,154.87x = 170,800,349.51
  5. Step 5: Solve for x
    x = 170,800,349.51/12,154.87
  6. Step 6: Final answer
    x = 14,052.01

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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.