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Finding the Fourth Proportional to 21,635.64, 32,428.08 and 9,775.62

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Solution

The fourth proportional to 21,635.64, 32,428.08 and 9,775.62 is: 14,651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,635.64 : 32,428.08 = 9,775.62 : x
  2. Step 2: Convert to fraction form
    21,635.64/32,428.08 = 9,775.62/x
  3. Step 3: Cross multiply
    21,635.64x = 32,428.08 × 9,775.62
  4. Step 4: Simplify right side
    21,635.64x = 317,004,587.41
  5. Step 5: Solve for x
    x = 317,004,587.41/21,635.64
  6. Step 6: Final answer
    x = 14,651.96

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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.