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Finding the Fourth Proportional to 21,435.28, 32,157.90 and 6,643.42

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Solution

The fourth proportional to 21,435.28, 32,157.90 and 6,643.42 is: 9,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,435.28 : 32,157.90 = 6,643.42 : x
  2. Step 2: Convert to fraction form
    21,435.28/32,157.90 = 6,643.42/x
  3. Step 3: Cross multiply
    21,435.28x = 32,157.90 × 6,643.42
  4. Step 4: Simplify right side
    21,435.28x = 213,638,436.02
  5. Step 5: Solve for x
    x = 213,638,436.02/21,435.28
  6. Step 6: Final answer
    x = 9,966.67

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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.