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Finding the Fourth Proportional to 24,189.96, 36,279.06 and 6,656.28

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Solution

The fourth proportional to 24,189.96, 36,279.06 and 6,656.28 is: 9,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,189.96 : 36,279.06 = 6,656.28 : x
  2. Step 2: Convert to fraction form
    24,189.96/36,279.06 = 6,656.28/x
  3. Step 3: Cross multiply
    24,189.96x = 36,279.06 × 6,656.28
  4. Step 4: Simplify right side
    24,189.96x = 241,483,581.50
  5. Step 5: Solve for x
    x = 241,483,581.50/24,189.96
  6. Step 6: Final answer
    x = 9,982.80

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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.