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Finding the Fourth Proportional to 17,960, 24,785.28 and 10,002.56

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Solution

The fourth proportional to 17,960, 24,785.28 and 10,002.56 is: 13,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,960 : 24,785.28 = 10,002.56 : x
  2. Step 2: Convert to fraction form
    17,960/24,785.28 = 10,002.56/x
  3. Step 3: Cross multiply
    17,960x = 24,785.28 × 10,002.56
  4. Step 4: Simplify right side
    17,960x = 247,916,250.32
  5. Step 5: Solve for x
    x = 247,916,250.32/17,960
  6. Step 6: Final answer
    x = 13,803.80

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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.