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Finding the Fourth Proportional to 23,804.80, 32,851.74 and 13,194.67

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Solution

The fourth proportional to 23,804.80, 32,851.74 and 13,194.67 is: 18,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.80 : 32,851.74 = 13,194.67 : x
  2. Step 2: Convert to fraction form
    23,804.80/32,851.74 = 13,194.67/x
  3. Step 3: Cross multiply
    23,804.80x = 32,851.74 × 13,194.67
  4. Step 4: Simplify right side
    23,804.80x = 433,467,868.23
  5. Step 5: Solve for x
    x = 433,467,868.23/23,804.80
  6. Step 6: Final answer
    x = 18,209.26

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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.