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Finding the Fourth Proportional to 23,544, 32,489.10 and 12,931.44

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Solution

The fourth proportional to 23,544, 32,489.10 and 12,931.44 is: 17,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,544 : 32,489.10 = 12,931.44 : x
  2. Step 2: Convert to fraction form
    23,544/32,489.10 = 12,931.44/x
  3. Step 3: Cross multiply
    23,544x = 32,489.10 × 12,931.44
  4. Step 4: Simplify right side
    23,544x = 420,130,847.30
  5. Step 5: Solve for x
    x = 420,130,847.30/23,544
  6. Step 6: Final answer
    x = 17,844.50

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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.