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Finding the Fourth Proportional to 21,221.58, 31,830.75 and 7,182.78

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Solution

The fourth proportional to 21,221.58, 31,830.75 and 7,182.78 is: 10,773.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221.58 : 31,830.75 = 7,182.78 : x
  2. Step 2: Convert to fraction form
    21,221.58/31,830.75 = 7,182.78/x
  3. Step 3: Cross multiply
    21,221.58x = 31,830.75 × 7,182.78
  4. Step 4: Simplify right side
    21,221.58x = 228,633,274.49
  5. Step 5: Solve for x
    x = 228,633,274.49/21,221.58
  6. Step 6: Final answer
    x = 10,773.62

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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.