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Finding the Fourth Proportional to 17,909.28, 24,716.64 and 10,356

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Solution

The fourth proportional to 17,909.28, 24,716.64 and 10,356 is: 14,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,909.28 : 24,716.64 = 10,356 : x
  2. Step 2: Convert to fraction form
    17,909.28/24,716.64 = 10,356/x
  3. Step 3: Cross multiply
    17,909.28x = 24,716.64 × 10,356
  4. Step 4: Simplify right side
    17,909.28x = 255,965,523.84
  5. Step 5: Solve for x
    x = 255,965,523.84/17,909.28
  6. Step 6: Final answer
    x = 14,292.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.