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Finding the Fourth Proportional to 23,858.50, 32,923.64 and 13,248.80

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Solution

The fourth proportional to 23,858.50, 32,923.64 and 13,248.80 is: 18,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.50 : 32,923.64 = 13,248.80 : x
  2. Step 2: Convert to fraction form
    23,858.50/32,923.64 = 13,248.80/x
  3. Step 3: Cross multiply
    23,858.50x = 32,923.64 × 13,248.80
  4. Step 4: Simplify right side
    23,858.50x = 436,198,721.63
  5. Step 5: Solve for x
    x = 436,198,721.63/23,858.50
  6. Step 6: Final answer
    x = 18,282.74

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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.