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Finding the Fourth Proportional to 15,137.92, 22,710.54 and 4,749.68

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Solution

The fourth proportional to 15,137.92, 22,710.54 and 4,749.68 is: 7,125.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.92 : 22,710.54 = 4,749.68 : x
  2. Step 2: Convert to fraction form
    15,137.92/22,710.54 = 4,749.68/x
  3. Step 3: Cross multiply
    15,137.92x = 22,710.54 × 4,749.68
  4. Step 4: Simplify right side
    15,137.92x = 107,867,797.63
  5. Step 5: Solve for x
    x = 107,867,797.63/15,137.92
  6. Step 6: Final answer
    x = 7,125.67

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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.