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Finding the Fourth Proportional to 21,973.26, 32,964.16 and 7,178.22

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Solution

The fourth proportional to 21,973.26, 32,964.16 and 7,178.22 is: 10,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,973.26 : 32,964.16 = 7,178.22 : x
  2. Step 2: Convert to fraction form
    21,973.26/32,964.16 = 7,178.22/x
  3. Step 3: Cross multiply
    21,973.26x = 32,964.16 × 7,178.22
  4. Step 4: Simplify right side
    21,973.26x = 236,623,992.60
  5. Step 5: Solve for x
    x = 236,623,992.60/21,973.26
  6. Step 6: Final answer
    x = 10,768.72

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