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Finding the Fourth Proportional to 21,967.94, 32,954.12 and 6,173.01

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Solution

The fourth proportional to 21,967.94, 32,954.12 and 6,173.01 is: 9,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,967.94 : 32,954.12 = 6,173.01 : x
  2. Step 2: Convert to fraction form
    21,967.94/32,954.12 = 6,173.01/x
  3. Step 3: Cross multiply
    21,967.94x = 32,954.12 × 6,173.01
  4. Step 4: Simplify right side
    21,967.94x = 203,426,112.30
  5. Step 5: Solve for x
    x = 203,426,112.30/21,967.94
  6. Step 6: Final answer
    x = 9,260.14

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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.