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Finding the Fourth Proportional to 17,459.72, 26,189.44 and 11,563

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Solution

The fourth proportional to 17,459.72, 26,189.44 and 11,563 is: 17,344.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,459.72 : 26,189.44 = 11,563 : x
  2. Step 2: Convert to fraction form
    17,459.72/26,189.44 = 11,563/x
  3. Step 3: Cross multiply
    17,459.72x = 26,189.44 × 11,563
  4. Step 4: Simplify right side
    17,459.72x = 302,828,494.72
  5. Step 5: Solve for x
    x = 302,828,494.72/17,459.72
  6. Step 6: Final answer
    x = 17,344.41

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1.5x scale

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.