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Finding the Fourth Proportional to 14,683.40, 22,008.90 and 8,114.30

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Solution

The fourth proportional to 14,683.40, 22,008.90 and 8,114.30 is: 12,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,683.40 : 22,008.90 = 8,114.30 : x
  2. Step 2: Convert to fraction form
    14,683.40/22,008.90 = 8,114.30/x
  3. Step 3: Cross multiply
    14,683.40x = 22,008.90 × 8,114.30
  4. Step 4: Simplify right side
    14,683.40x = 178,586,817.27
  5. Step 5: Solve for x
    x = 178,586,817.27/14,683.40
  6. Step 6: Final answer
    x = 12,162.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.