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Finding the Fourth Proportional to 21,523.69, 32,295.12 and 10,988.14

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Solution

The fourth proportional to 21,523.69, 32,295.12 and 10,988.14 is: 16,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523.69 : 32,295.12 = 10,988.14 : x
  2. Step 2: Convert to fraction form
    21,523.69/32,295.12 = 10,988.14/x
  3. Step 3: Cross multiply
    21,523.69x = 32,295.12 × 10,988.14
  4. Step 4: Simplify right side
    21,523.69x = 354,863,299.88
  5. Step 5: Solve for x
    x = 354,863,299.88/21,523.69
  6. Step 6: Final answer
    x = 16,487.10

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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.