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Finding the Fourth Proportional to 23,775.80, 32,810.97 and 13,020.48

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Solution

The fourth proportional to 23,775.80, 32,810.97 and 13,020.48 is: 17,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,775.80 : 32,810.97 = 13,020.48 : x
  2. Step 2: Convert to fraction form
    23,775.80/32,810.97 = 13,020.48/x
  3. Step 3: Cross multiply
    23,775.80x = 32,810.97 × 13,020.48
  4. Step 4: Simplify right side
    23,775.80x = 427,214,558.18
  5. Step 5: Solve for x
    x = 427,214,558.18/23,775.80
  6. Step 6: Final answer
    x = 17,968.46

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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.