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Finding the Fourth Proportional to 23,813.96, 32,862.96 and 13,203.80

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Solution

The fourth proportional to 23,813.96, 32,862.96 and 13,203.80 is: 18,221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.96 : 32,862.96 = 13,203.80 : x
  2. Step 2: Convert to fraction form
    23,813.96/32,862.96 = 13,203.80/x
  3. Step 3: Cross multiply
    23,813.96x = 32,862.96 × 13,203.80
  4. Step 4: Simplify right side
    23,813.96x = 433,915,951.25
  5. Step 5: Solve for x
    x = 433,915,951.25/23,813.96
  6. Step 6: Final answer
    x = 18,221.08

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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.