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Finding the Fourth Proportional to 21,763.60, 32,647.75 and 9,284.94

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Solution

The fourth proportional to 21,763.60, 32,647.75 and 9,284.94 is: 13,928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,763.60 : 32,647.75 = 9,284.94 : x
  2. Step 2: Convert to fraction form
    21,763.60/32,647.75 = 9,284.94/x
  3. Step 3: Cross multiply
    21,763.60x = 32,647.75 × 9,284.94
  4. Step 4: Simplify right side
    21,763.60x = 303,132,399.89
  5. Step 5: Solve for x
    x = 303,132,399.89/21,763.60
  6. Step 6: Final answer
    x = 13,928.41

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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.