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Finding the Fourth Proportional to 21,796.40, 32,675.16 and 8,642

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Solution

The fourth proportional to 21,796.40, 32,675.16 and 8,642 is: 12,955.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,796.40 : 32,675.16 = 8,642 : x
  2. Step 2: Convert to fraction form
    21,796.40/32,675.16 = 8,642/x
  3. Step 3: Cross multiply
    21,796.40x = 32,675.16 × 8,642
  4. Step 4: Simplify right side
    21,796.40x = 282,378,732.72
  5. Step 5: Solve for x
    x = 282,378,732.72/21,796.40
  6. Step 6: Final answer
    x = 12,955.29

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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.