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Finding the Fourth Proportional to 13,214.81, 18,239.87 and 8,176.10

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Solution

The fourth proportional to 13,214.81, 18,239.87 and 8,176.10 is: 11,285.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.81 : 18,239.87 = 8,176.10 : x
  2. Step 2: Convert to fraction form
    13,214.81/18,239.87 = 8,176.10/x
  3. Step 3: Cross multiply
    13,214.81x = 18,239.87 × 8,176.10
  4. Step 4: Simplify right side
    13,214.81x = 149,130,869.03
  5. Step 5: Solve for x
    x = 149,130,869.03/13,214.81
  6. Step 6: Final answer
    x = 11,285.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.