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Finding the Fourth Proportional to 21,557.81, 32,325.75 and 9,861

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Solution

The fourth proportional to 21,557.81, 32,325.75 and 9,861 is: 14,786.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,557.81 : 32,325.75 = 9,861 : x
  2. Step 2: Convert to fraction form
    21,557.81/32,325.75 = 9,861/x
  3. Step 3: Cross multiply
    21,557.81x = 32,325.75 × 9,861
  4. Step 4: Simplify right side
    21,557.81x = 318,764,220.75
  5. Step 5: Solve for x
    x = 318,764,220.75/21,557.81
  6. Step 6: Final answer
    x = 14,786.49

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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.