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Finding the Fourth Proportional to 17,153, 23,654.90 and 11,189.24

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Solution

The fourth proportional to 17,153, 23,654.90 and 11,189.24 is: 15,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,153 : 23,654.90 = 11,189.24 : x
  2. Step 2: Convert to fraction form
    17,153/23,654.90 = 11,189.24/x
  3. Step 3: Cross multiply
    17,153x = 23,654.90 × 11,189.24
  4. Step 4: Simplify right side
    17,153x = 264,680,353.28
  5. Step 5: Solve for x
    x = 264,680,353.28/17,153
  6. Step 6: Final answer
    x = 15,430.56

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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.