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Finding the Fourth Proportional to 18,138.48, 25,037.40 and 10,686

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Solution

The fourth proportional to 18,138.48, 25,037.40 and 10,686 is: 14,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,138.48 : 25,037.40 = 10,686 : x
  2. Step 2: Convert to fraction form
    18,138.48/25,037.40 = 10,686/x
  3. Step 3: Cross multiply
    18,138.48x = 25,037.40 × 10,686
  4. Step 4: Simplify right side
    18,138.48x = 267,549,656.40
  5. Step 5: Solve for x
    x = 267,549,656.40/18,138.48
  6. Step 6: Final answer
    x = 14,750.39

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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.