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Finding the Fourth Proportional to 23,241.74, 32,078.70 and 15,284.70

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Solution

The fourth proportional to 23,241.74, 32,078.70 and 15,284.70 is: 21,096.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241.74 : 32,078.70 = 15,284.70 : x
  2. Step 2: Convert to fraction form
    23,241.74/32,078.70 = 15,284.70/x
  3. Step 3: Cross multiply
    23,241.74x = 32,078.70 × 15,284.70
  4. Step 4: Simplify right side
    23,241.74x = 490,313,305.89
  5. Step 5: Solve for x
    x = 490,313,305.89/23,241.74
  6. Step 6: Final answer
    x = 21,096.24

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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.