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Finding the Fourth Proportional to 14,683.68, 22,029.84 and 5,914.08

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Solution

The fourth proportional to 14,683.68, 22,029.84 and 5,914.08 is: 8,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,683.68 : 22,029.84 = 5,914.08 : x
  2. Step 2: Convert to fraction form
    14,683.68/22,029.84 = 5,914.08/x
  3. Step 3: Cross multiply
    14,683.68x = 22,029.84 × 5,914.08
  4. Step 4: Simplify right side
    14,683.68x = 130,286,236.15
  5. Step 5: Solve for x
    x = 130,286,236.15/14,683.68
  6. Step 6: Final answer
    x = 8,872.86

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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.