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Finding the Fourth Proportional to 16,333.63, 22,539.74 and 9,619.54

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Solution

The fourth proportional to 16,333.63, 22,539.74 and 9,619.54 is: 13,274.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333.63 : 22,539.74 = 9,619.54 : x
  2. Step 2: Convert to fraction form
    16,333.63/22,539.74 = 9,619.54/x
  3. Step 3: Cross multiply
    16,333.63x = 22,539.74 × 9,619.54
  4. Step 4: Simplify right side
    16,333.63x = 216,821,930.52
  5. Step 5: Solve for x
    x = 216,821,930.52/16,333.63
  6. Step 6: Final answer
    x = 13,274.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.