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Finding the Fourth Proportional to 23,761.50, 32,790.87 and 13,825.50

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Solution

The fourth proportional to 23,761.50, 32,790.87 and 13,825.50 is: 19,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,761.50 : 32,790.87 = 13,825.50 : x
  2. Step 2: Convert to fraction form
    23,761.50/32,790.87 = 13,825.50/x
  3. Step 3: Cross multiply
    23,761.50x = 32,790.87 × 13,825.50
  4. Step 4: Simplify right side
    23,761.50x = 453,350,173.19
  5. Step 5: Solve for x
    x = 453,350,173.19/23,761.50
  6. Step 6: Final answer
    x = 19,079.19

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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.