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Finding the Fourth Proportional to 21,675.80, 32,492.10 and 9,968.60

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Solution

The fourth proportional to 21,675.80, 32,492.10 and 9,968.60 is: 14,942.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,675.80 : 32,492.10 = 9,968.60 : x
  2. Step 2: Convert to fraction form
    21,675.80/32,492.10 = 9,968.60/x
  3. Step 3: Cross multiply
    21,675.80x = 32,492.10 × 9,968.60
  4. Step 4: Simplify right side
    21,675.80x = 323,900,748.06
  5. Step 5: Solve for x
    x = 323,900,748.06/21,675.80
  6. Step 6: Final answer
    x = 14,942.97

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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.