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Finding the Fourth Proportional to 21,621.60, 32,420.88 and 6,824.16

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Solution

The fourth proportional to 21,621.60, 32,420.88 and 6,824.16 is: 10,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,621.60 : 32,420.88 = 6,824.16 : x
  2. Step 2: Convert to fraction form
    21,621.60/32,420.88 = 6,824.16/x
  3. Step 3: Cross multiply
    21,621.60x = 32,420.88 × 6,824.16
  4. Step 4: Simplify right side
    21,621.60x = 221,245,272.46
  5. Step 5: Solve for x
    x = 221,245,272.46/21,621.60
  6. Step 6: Final answer
    x = 10,232.60

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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.