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Finding the Fourth Proportional to 13,956.48, 20,952.50 and 9,046.67

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Solution

The fourth proportional to 13,956.48, 20,952.50 and 9,046.67 is: 13,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,956.48 : 20,952.50 = 9,046.67 : x
  2. Step 2: Convert to fraction form
    13,956.48/20,952.50 = 9,046.67/x
  3. Step 3: Cross multiply
    13,956.48x = 20,952.50 × 9,046.67
  4. Step 4: Simplify right side
    13,956.48x = 189,550,203.18
  5. Step 5: Solve for x
    x = 189,550,203.18/13,956.48
  6. Step 6: Final answer
    x = 13,581.52

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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.