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Finding the Fourth Proportional to 15,247.92, 22,858.74 and 5,894.50

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Solution

The fourth proportional to 15,247.92, 22,858.74 and 5,894.50 is: 8,836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,247.92 : 22,858.74 = 5,894.50 : x
  2. Step 2: Convert to fraction form
    15,247.92/22,858.74 = 5,894.50/x
  3. Step 3: Cross multiply
    15,247.92x = 22,858.74 × 5,894.50
  4. Step 4: Simplify right side
    15,247.92x = 134,740,842.93
  5. Step 5: Solve for x
    x = 134,740,842.93/15,247.92
  6. Step 6: Final answer
    x = 8,836.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.