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Finding the Fourth Proportional to 21,077.58, 31,596.57 and 7,216.86

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Solution

The fourth proportional to 21,077.58, 31,596.57 and 7,216.86 is: 10,818.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,077.58 : 31,596.57 = 7,216.86 : x
  2. Step 2: Convert to fraction form
    21,077.58/31,596.57 = 7,216.86/x
  3. Step 3: Cross multiply
    21,077.58x = 31,596.57 × 7,216.86
  4. Step 4: Simplify right side
    21,077.58x = 228,028,022.17
  5. Step 5: Solve for x
    x = 228,028,022.17/21,077.58
  6. Step 6: Final answer
    x = 10,818.51

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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.