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Finding the Fourth Proportional to 17,220.91, 23,765.92 and 11,468.50

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Solution

The fourth proportional to 17,220.91, 23,765.92 and 11,468.50 is: 15,827.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,220.91 : 23,765.92 = 11,468.50 : x
  2. Step 2: Convert to fraction form
    17,220.91/23,765.92 = 11,468.50/x
  3. Step 3: Cross multiply
    17,220.91x = 23,765.92 × 11,468.50
  4. Step 4: Simplify right side
    17,220.91x = 272,559,453.52
  5. Step 5: Solve for x
    x = 272,559,453.52/17,220.91
  6. Step 6: Final answer
    x = 15,827.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.