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Finding the Fourth Proportional to 21,785.32, 32,678.04 and 6,203.08

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Solution

The fourth proportional to 21,785.32, 32,678.04 and 6,203.08 is: 9,304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,785.32 : 32,678.04 = 6,203.08 : x
  2. Step 2: Convert to fraction form
    21,785.32/32,678.04 = 6,203.08/x
  3. Step 3: Cross multiply
    21,785.32x = 32,678.04 × 6,203.08
  4. Step 4: Simplify right side
    21,785.32x = 202,704,496.36
  5. Step 5: Solve for x
    x = 202,704,496.36/21,785.32
  6. Step 6: Final answer
    x = 9,304.64

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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.