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Finding the Fourth Proportional to 17,824.32, 24,593.76 and 10,368

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Solution

The fourth proportional to 17,824.32, 24,593.76 and 10,368 is: 14,305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.32 : 24,593.76 = 10,368 : x
  2. Step 2: Convert to fraction form
    17,824.32/24,593.76 = 10,368/x
  3. Step 3: Cross multiply
    17,824.32x = 24,593.76 × 10,368
  4. Step 4: Simplify right side
    17,824.32x = 254,988,103.68
  5. Step 5: Solve for x
    x = 254,988,103.68/17,824.32
  6. Step 6: Final answer
    x = 14,305.63

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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.