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Finding the Fourth Proportional to 21,973.12, 32,961.71 and 7,182.12

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Solution

The fourth proportional to 21,973.12, 32,961.71 and 7,182.12 is: 10,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,973.12 : 32,961.71 = 7,182.12 : x
  2. Step 2: Convert to fraction form
    21,973.12/32,961.71 = 7,182.12/x
  3. Step 3: Cross multiply
    21,973.12x = 32,961.71 × 7,182.12
  4. Step 4: Simplify right side
    21,973.12x = 236,734,755.91
  5. Step 5: Solve for x
    x = 236,734,755.91/21,973.12
  6. Step 6: Final answer
    x = 10,773.83

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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.