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Finding the Fourth Proportional to 15,437.76, 23,145.12 and 7,227.84

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Solution

The fourth proportional to 15,437.76, 23,145.12 and 7,227.84 is: 10,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,437.76 : 23,145.12 = 7,227.84 : x
  2. Step 2: Convert to fraction form
    15,437.76/23,145.12 = 7,227.84/x
  3. Step 3: Cross multiply
    15,437.76x = 23,145.12 × 7,227.84
  4. Step 4: Simplify right side
    15,437.76x = 167,289,224.14
  5. Step 5: Solve for x
    x = 167,289,224.14/15,437.76
  6. Step 6: Final answer
    x = 10,836.37

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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.