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Finding the Fourth Proportional to 15,817.68, 23,732.10 and 9,887.67

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Solution

The fourth proportional to 15,817.68, 23,732.10 and 9,887.67 is: 14,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.68 : 23,732.10 = 9,887.67 : x
  2. Step 2: Convert to fraction form
    15,817.68/23,732.10 = 9,887.67/x
  3. Step 3: Cross multiply
    15,817.68x = 23,732.10 × 9,887.67
  4. Step 4: Simplify right side
    15,817.68x = 234,655,173.21
  5. Step 5: Solve for x
    x = 234,655,173.21/15,817.68
  6. Step 6: Final answer
    x = 14,834.99

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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.