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Finding the Fourth Proportional to 15,926.14, 23,889.01 and 9,687.86

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Solution

The fourth proportional to 15,926.14, 23,889.01 and 9,687.86 is: 14,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,926.14 : 23,889.01 = 9,687.86 : x
  2. Step 2: Convert to fraction form
    15,926.14/23,889.01 = 9,687.86/x
  3. Step 3: Cross multiply
    15,926.14x = 23,889.01 × 9,687.86
  4. Step 4: Simplify right side
    15,926.14x = 231,433,384.42
  5. Step 5: Solve for x
    x = 231,433,384.42/15,926.14
  6. Step 6: Final answer
    x = 14,531.67

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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.