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Finding the Fourth Proportional to 21,497.40, 32,236.38 and 7,646.76

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Solution

The fourth proportional to 21,497.40, 32,236.38 and 7,646.76 is: 11,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.40 : 32,236.38 = 7,646.76 : x
  2. Step 2: Convert to fraction form
    21,497.40/32,236.38 = 7,646.76/x
  3. Step 3: Cross multiply
    21,497.40x = 32,236.38 × 7,646.76
  4. Step 4: Simplify right side
    21,497.40x = 246,503,861.13
  5. Step 5: Solve for x
    x = 246,503,861.13/21,497.40
  6. Step 6: Final answer
    x = 11,466.68

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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.