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Finding the Fourth Proportional to 22,534, 33,778.32 and 9,393.64

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Solution

The fourth proportional to 22,534, 33,778.32 and 9,393.64 is: 14,081.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,534 : 33,778.32 = 9,393.64 : x
  2. Step 2: Convert to fraction form
    22,534/33,778.32 = 9,393.64/x
  3. Step 3: Cross multiply
    22,534x = 33,778.32 × 9,393.64
  4. Step 4: Simplify right side
    22,534x = 317,301,377.88
  5. Step 5: Solve for x
    x = 317,301,377.88/22,534
  6. Step 6: Final answer
    x = 14,081.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.