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Finding the Fourth Proportional to 17,762.28, 24,511.71 and 9,804.33

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Solution

The fourth proportional to 17,762.28, 24,511.71 and 9,804.33 is: 13,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.28 : 24,511.71 = 9,804.33 : x
  2. Step 2: Convert to fraction form
    17,762.28/24,511.71 = 9,804.33/x
  3. Step 3: Cross multiply
    17,762.28x = 24,511.71 × 9,804.33
  4. Step 4: Simplify right side
    17,762.28x = 240,320,893.70
  5. Step 5: Solve for x
    x = 240,320,893.70/17,762.28
  6. Step 6: Final answer
    x = 13,529.84

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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.