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Finding the Fourth Proportional to 23,792.76, 32,834.03 and 13,182.57

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Solution

The fourth proportional to 23,792.76, 32,834.03 and 13,182.57 is: 18,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,792.76 : 32,834.03 = 13,182.57 : x
  2. Step 2: Convert to fraction form
    23,792.76/32,834.03 = 13,182.57/x
  3. Step 3: Cross multiply
    23,792.76x = 32,834.03 × 13,182.57
  4. Step 4: Simplify right side
    23,792.76x = 432,836,832.94
  5. Step 5: Solve for x
    x = 432,836,832.94/23,792.76
  6. Step 6: Final answer
    x = 18,191.96

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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.