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Finding the Fourth Proportional to 15,269.72, 22,896.86 and 5,407.60

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Solution

The fourth proportional to 15,269.72, 22,896.86 and 5,407.60 is: 8,108.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,269.72 : 22,896.86 = 5,407.60 : x
  2. Step 2: Convert to fraction form
    15,269.72/22,896.86 = 5,407.60/x
  3. Step 3: Cross multiply
    15,269.72x = 22,896.86 × 5,407.60
  4. Step 4: Simplify right side
    15,269.72x = 123,817,060.14
  5. Step 5: Solve for x
    x = 123,817,060.14/15,269.72
  6. Step 6: Final answer
    x = 8,108.67

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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.