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Finding the Fourth Proportional to 23,205, 32,022.84 and 12,594.68

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Solution

The fourth proportional to 23,205, 32,022.84 and 12,594.68 is: 17,380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205 : 32,022.84 = 12,594.68 : x
  2. Step 2: Convert to fraction form
    23,205/32,022.84 = 12,594.68/x
  3. Step 3: Cross multiply
    23,205x = 32,022.84 × 12,594.68
  4. Step 4: Simplify right side
    23,205x = 403,317,422.49
  5. Step 5: Solve for x
    x = 403,317,422.49/23,205
  6. Step 6: Final answer
    x = 17,380.63

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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.