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Finding the Fourth Proportional to 21,708, 32,562 and 7,857

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Solution

The fourth proportional to 21,708, 32,562 and 7,857 is: 11,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,708 : 32,562 = 7,857 : x
  2. Step 2: Convert to fraction form
    21,708/32,562 = 7,857/x
  3. Step 3: Cross multiply
    21,708x = 32,562 × 7,857
  4. Step 4: Simplify right side
    21,708x = 255,839,634
  5. Step 5: Solve for x
    x = 255,839,634/21,708
  6. Step 6: Final answer
    x = 11,785.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.