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Finding the Fourth Proportional to 21,637.64, 32,431.08 and 9,777.62

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Solution

The fourth proportional to 21,637.64, 32,431.08 and 9,777.62 is: 14,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,637.64 : 32,431.08 = 9,777.62 : x
  2. Step 2: Convert to fraction form
    21,637.64/32,431.08 = 9,777.62/x
  3. Step 3: Cross multiply
    21,637.64x = 32,431.08 × 9,777.62
  4. Step 4: Simplify right side
    21,637.64x = 317,098,776.43
  5. Step 5: Solve for x
    x = 317,098,776.43/21,637.64
  6. Step 6: Final answer
    x = 14,654.96

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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.