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Finding the Fourth Proportional to 20,038.12, 30,013.50 and 11,268.52

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Solution

The fourth proportional to 20,038.12, 30,013.50 and 11,268.52 is: 16,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.12 : 30,013.50 = 11,268.52 : x
  2. Step 2: Convert to fraction form
    20,038.12/30,013.50 = 11,268.52/x
  3. Step 3: Cross multiply
    20,038.12x = 30,013.50 × 11,268.52
  4. Step 4: Simplify right side
    20,038.12x = 338,207,725.02
  5. Step 5: Solve for x
    x = 338,207,725.02/20,038.12
  6. Step 6: Final answer
    x = 16,878.22

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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.