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Finding the Fourth Proportional to 22,494.08, 33,741.60 and 7,720

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Solution

The fourth proportional to 22,494.08, 33,741.60 and 7,720 is: 11,580.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494.08 : 33,741.60 = 7,720 : x
  2. Step 2: Convert to fraction form
    22,494.08/33,741.60 = 7,720/x
  3. Step 3: Cross multiply
    22,494.08x = 33,741.60 × 7,720
  4. Step 4: Simplify right side
    22,494.08x = 260,485,152
  5. Step 5: Solve for x
    x = 260,485,152/22,494.08
  6. Step 6: Final answer
    x = 11,580.16

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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.