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Finding the Fourth Proportional to 15,889.87, 23,842.50 and 6,536.80

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Solution

The fourth proportional to 15,889.87, 23,842.50 and 6,536.80 is: 9,808.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,889.87 : 23,842.50 = 6,536.80 : x
  2. Step 2: Convert to fraction form
    15,889.87/23,842.50 = 6,536.80/x
  3. Step 3: Cross multiply
    15,889.87x = 23,842.50 × 6,536.80
  4. Step 4: Simplify right side
    15,889.87x = 155,853,654
  5. Step 5: Solve for x
    x = 155,853,654/15,889.87
  6. Step 6: Final answer
    x = 9,808.37

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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.