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Finding the Fourth Proportional to 21,610.40, 32,428.76 and 8,462.88

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Solution

The fourth proportional to 21,610.40, 32,428.76 and 8,462.88 is: 12,699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,610.40 : 32,428.76 = 8,462.88 : x
  2. Step 2: Convert to fraction form
    21,610.40/32,428.76 = 8,462.88/x
  3. Step 3: Cross multiply
    21,610.40x = 32,428.76 × 8,462.88
  4. Step 4: Simplify right side
    21,610.40x = 274,440,662.11
  5. Step 5: Solve for x
    x = 274,440,662.11/21,610.40
  6. Step 6: Final answer
    x = 12,699.47

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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.