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Finding the Fourth Proportional to 23,343.87, 32,214.01 and 12,733.88

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Solution

The fourth proportional to 23,343.87, 32,214.01 and 12,733.88 is: 17,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,343.87 : 32,214.01 = 12,733.88 : x
  2. Step 2: Convert to fraction form
    23,343.87/32,214.01 = 12,733.88/x
  3. Step 3: Cross multiply
    23,343.87x = 32,214.01 × 12,733.88
  4. Step 4: Simplify right side
    23,343.87x = 410,209,257.12
  5. Step 5: Solve for x
    x = 410,209,257.12/23,343.87
  6. Step 6: Final answer
    x = 17,572.47

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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.