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Finding the Fourth Proportional to 17,953.76, 24,772.44 and 10,399.64

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Solution

The fourth proportional to 17,953.76, 24,772.44 and 10,399.64 is: 14,349.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,953.76 : 24,772.44 = 10,399.64 : x
  2. Step 2: Convert to fraction form
    17,953.76/24,772.44 = 10,399.64/x
  3. Step 3: Cross multiply
    17,953.76x = 24,772.44 × 10,399.64
  4. Step 4: Simplify right side
    17,953.76x = 257,624,457.92
  5. Step 5: Solve for x
    x = 257,624,457.92/17,953.76
  6. Step 6: Final answer
    x = 14,349.33

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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.