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Finding the Fourth Proportional to 21,166.68, 31,764.60 and 9,492.96

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Solution

The fourth proportional to 21,166.68, 31,764.60 and 9,492.96 is: 14,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,166.68 : 31,764.60 = 9,492.96 : x
  2. Step 2: Convert to fraction form
    21,166.68/31,764.60 = 9,492.96/x
  3. Step 3: Cross multiply
    21,166.68x = 31,764.60 × 9,492.96
  4. Step 4: Simplify right side
    21,166.68x = 301,540,077.22
  5. Step 5: Solve for x
    x = 301,540,077.22/21,166.68
  6. Step 6: Final answer
    x = 14,245.98

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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.