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Finding the Fourth Proportional to 21,785.25, 32,678.28 and 6,203.28

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Solution

The fourth proportional to 21,785.25, 32,678.28 and 6,203.28 is: 9,305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785.25 : 32,678.28 = 6,203.28 : x
  2. Step 2: Convert to fraction form
    21,785.25/32,678.28 = 6,203.28/x
  3. Step 3: Cross multiply
    21,785.25x = 32,678.28 × 6,203.28
  4. Step 4: Simplify right side
    21,785.25x = 202,712,520.76
  5. Step 5: Solve for x
    x = 202,712,520.76/21,785.25
  6. Step 6: Final answer
    x = 9,305.04

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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.