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Finding the Fourth Proportional to 21,886.32, 32,829.60 and 6,304.32

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Solution

The fourth proportional to 21,886.32, 32,829.60 and 6,304.32 is: 9,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886.32 : 32,829.60 = 6,304.32 : x
  2. Step 2: Convert to fraction form
    21,886.32/32,829.60 = 6,304.32/x
  3. Step 3: Cross multiply
    21,886.32x = 32,829.60 × 6,304.32
  4. Step 4: Simplify right side
    21,886.32x = 206,968,303.87
  5. Step 5: Solve for x
    x = 206,968,303.87/21,886.32
  6. Step 6: Final answer
    x = 9,456.51

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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.