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Finding the Fourth Proportional to 21,746.80, 32,622.92 and 6,164.40

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Solution

The fourth proportional to 21,746.80, 32,622.92 and 6,164.40 is: 9,247.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,746.80 : 32,622.92 = 6,164.40 : x
  2. Step 2: Convert to fraction form
    21,746.80/32,622.92 = 6,164.40/x
  3. Step 3: Cross multiply
    21,746.80x = 32,622.92 × 6,164.40
  4. Step 4: Simplify right side
    21,746.80x = 201,100,728.05
  5. Step 5: Solve for x
    x = 201,100,728.05/21,746.80
  6. Step 6: Final answer
    x = 9,247.37

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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.