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Finding the Fourth Proportional to 17,762.04, 24,511.49 and 9,804.27

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Solution

The fourth proportional to 17,762.04, 24,511.49 and 9,804.27 is: 13,529.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.04 : 24,511.49 = 9,804.27 : x
  2. Step 2: Convert to fraction form
    17,762.04/24,511.49 = 9,804.27/x
  3. Step 3: Cross multiply
    17,762.04x = 24,511.49 × 9,804.27
  4. Step 4: Simplify right side
    17,762.04x = 240,317,094.48
  5. Step 5: Solve for x
    x = 240,317,094.48/17,762.04
  6. Step 6: Final answer
    x = 13,529.81

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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.