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Finding the Fourth Proportional to 17,686.25, 24,410.49 and 10,137.64

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Solution

The fourth proportional to 17,686.25, 24,410.49 and 10,137.64 is: 13,991.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.25 : 24,410.49 = 10,137.64 : x
  2. Step 2: Convert to fraction form
    17,686.25/24,410.49 = 10,137.64/x
  3. Step 3: Cross multiply
    17,686.25x = 24,410.49 × 10,137.64
  4. Step 4: Simplify right side
    17,686.25x = 247,464,759.84
  5. Step 5: Solve for x
    x = 247,464,759.84/17,686.25
  6. Step 6: Final answer
    x = 13,991.93

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1.5x scale

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.