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Finding the Fourth Proportional to 17,784, 24,544.08 and 10,332

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Solution

The fourth proportional to 17,784, 24,544.08 and 10,332 is: 14,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784 : 24,544.08 = 10,332 : x
  2. Step 2: Convert to fraction form
    17,784/24,544.08 = 10,332/x
  3. Step 3: Cross multiply
    17,784x = 24,544.08 × 10,332
  4. Step 4: Simplify right side
    17,784x = 253,589,434.56
  5. Step 5: Solve for x
    x = 253,589,434.56/17,784
  6. Step 6: Final answer
    x = 14,259.41

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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.