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Finding the Fourth Proportional to 13,830.70, 20,725 and 10,135.38

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Solution

The fourth proportional to 13,830.70, 20,725 and 10,135.38 is: 15,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.70 : 20,725 = 10,135.38 : x
  2. Step 2: Convert to fraction form
    13,830.70/20,725 = 10,135.38/x
  3. Step 3: Cross multiply
    13,830.70x = 20,725 × 10,135.38
  4. Step 4: Simplify right side
    13,830.70x = 210,055,750.50
  5. Step 5: Solve for x
    x = 210,055,750.50/13,830.70
  6. Step 6: Final answer
    x = 15,187.64

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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.