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Finding the Fourth Proportional to 23,491, 32,414.61 and 12,877.84

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Solution

The fourth proportional to 23,491, 32,414.61 and 12,877.84 is: 17,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,491 : 32,414.61 = 12,877.84 : x
  2. Step 2: Convert to fraction form
    23,491/32,414.61 = 12,877.84/x
  3. Step 3: Cross multiply
    23,491x = 32,414.61 × 12,877.84
  4. Step 4: Simplify right side
    23,491x = 417,430,161.24
  5. Step 5: Solve for x
    x = 417,430,161.24/23,491
  6. Step 6: Final answer
    x = 17,769.79

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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.