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Finding the Fourth Proportional to 22,038, 30,414.06 and 13,656.12

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Solution

The fourth proportional to 22,038, 30,414.06 and 13,656.12 is: 18,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038 : 30,414.06 = 13,656.12 : x
  2. Step 2: Convert to fraction form
    22,038/30,414.06 = 13,656.12/x
  3. Step 3: Cross multiply
    22,038x = 30,414.06 × 13,656.12
  4. Step 4: Simplify right side
    22,038x = 415,338,053.05
  5. Step 5: Solve for x
    x = 415,338,053.05/22,038
  6. Step 6: Final answer
    x = 18,846.45

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Why These Related Problems?

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