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Finding the Fourth Proportional to 17,762.30, 24,513.92 and 10,208.96

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Solution

The fourth proportional to 17,762.30, 24,513.92 and 10,208.96 is: 14,089.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.30 : 24,513.92 = 10,208.96 : x
  2. Step 2: Convert to fraction form
    17,762.30/24,513.92 = 10,208.96/x
  3. Step 3: Cross multiply
    17,762.30x = 24,513.92 × 10,208.96
  4. Step 4: Simplify right side
    17,762.30x = 250,261,628.72
  5. Step 5: Solve for x
    x = 250,261,628.72/17,762.30
  6. Step 6: Final answer
    x = 14,089.48

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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.