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Finding the Fourth Proportional to 23,424.46, 32,322 and 13,352.92

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Solution

The fourth proportional to 23,424.46, 32,322 and 13,352.92 is: 18,424.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,424.46 : 32,322 = 13,352.92 : x
  2. Step 2: Convert to fraction form
    23,424.46/32,322 = 13,352.92/x
  3. Step 3: Cross multiply
    23,424.46x = 32,322 × 13,352.92
  4. Step 4: Simplify right side
    23,424.46x = 431,593,080.24
  5. Step 5: Solve for x
    x = 431,593,080.24/23,424.46
  6. Step 6: Final answer
    x = 18,424.89

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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.