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Finding the Fourth Proportional to 21,735.84, 32,607.96 and 9,255.64

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Solution

The fourth proportional to 21,735.84, 32,607.96 and 9,255.64 is: 13,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,735.84 : 32,607.96 = 9,255.64 : x
  2. Step 2: Convert to fraction form
    21,735.84/32,607.96 = 9,255.64/x
  3. Step 3: Cross multiply
    21,735.84x = 32,607.96 × 9,255.64
  4. Step 4: Simplify right side
    21,735.84x = 301,807,538.89
  5. Step 5: Solve for x
    x = 301,807,538.89/21,735.84
  6. Step 6: Final answer
    x = 13,885.25

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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.