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Finding the Fourth Proportional to 13,619.52, 20,416.95 and 9,461.48

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Solution

The fourth proportional to 13,619.52, 20,416.95 and 9,461.48 is: 14,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,619.52 : 20,416.95 = 9,461.48 : x
  2. Step 2: Convert to fraction form
    13,619.52/20,416.95 = 9,461.48/x
  3. Step 3: Cross multiply
    13,619.52x = 20,416.95 × 9,461.48
  4. Step 4: Simplify right side
    13,619.52x = 193,174,462.00
  5. Step 5: Solve for x
    x = 193,174,462.00/13,619.52
  6. Step 6: Final answer
    x = 14,183.65

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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.