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Finding the Fourth Proportional to 23,825.44, 32,877.80 and 13,214.80

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Solution

The fourth proportional to 23,825.44, 32,877.80 and 13,214.80 is: 18,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.44 : 32,877.80 = 13,214.80 : x
  2. Step 2: Convert to fraction form
    23,825.44/32,877.80 = 13,214.80/x
  3. Step 3: Cross multiply
    23,825.44x = 32,877.80 × 13,214.80
  4. Step 4: Simplify right side
    23,825.44x = 434,473,551.44
  5. Step 5: Solve for x
    x = 434,473,551.44/23,825.44
  6. Step 6: Final answer
    x = 18,235.70

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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.