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Finding the Fourth Proportional to 21,428.40, 32,157 and 9,742.80

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Solution

The fourth proportional to 21,428.40, 32,157 and 9,742.80 is: 14,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,428.40 : 32,157 = 9,742.80 : x
  2. Step 2: Convert to fraction form
    21,428.40/32,157 = 9,742.80/x
  3. Step 3: Cross multiply
    21,428.40x = 32,157 × 9,742.80
  4. Step 4: Simplify right side
    21,428.40x = 313,299,219.60
  5. Step 5: Solve for x
    x = 313,299,219.60/21,428.40
  6. Step 6: Final answer
    x = 14,620.75

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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.