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Finding the Fourth Proportional to 23,489.40, 32,414.67 and 12,878.67

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Solution

The fourth proportional to 23,489.40, 32,414.67 and 12,878.67 is: 17,772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,489.40 : 32,414.67 = 12,878.67 : x
  2. Step 2: Convert to fraction form
    23,489.40/32,414.67 = 12,878.67/x
  3. Step 3: Cross multiply
    23,489.40x = 32,414.67 × 12,878.67
  4. Step 4: Simplify right side
    23,489.40x = 417,457,838.09
  5. Step 5: Solve for x
    x = 417,457,838.09/23,489.40
  6. Step 6: Final answer
    x = 17,772.18

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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.