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Finding the Fourth Proportional to 12,524.16, 17,272.16 and 10,396.32

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Solution

The fourth proportional to 12,524.16, 17,272.16 and 10,396.32 is: 14,337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.16 : 17,272.16 = 10,396.32 : x
  2. Step 2: Convert to fraction form
    12,524.16/17,272.16 = 10,396.32/x
  3. Step 3: Cross multiply
    12,524.16x = 17,272.16 × 10,396.32
  4. Step 4: Simplify right side
    12,524.16x = 179,566,902.45
  5. Step 5: Solve for x
    x = 179,566,902.45/12,524.16
  6. Step 6: Final answer
    x = 14,337.64

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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.