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Finding the Fourth Proportional to 17,762.88, 24,513.57 and 10,211.64

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Solution

The fourth proportional to 17,762.88, 24,513.57 and 10,211.64 is: 14,092.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.88 : 24,513.57 = 10,211.64 : x
  2. Step 2: Convert to fraction form
    17,762.88/24,513.57 = 10,211.64/x
  3. Step 3: Cross multiply
    17,762.88x = 24,513.57 × 10,211.64
  4. Step 4: Simplify right side
    17,762.88x = 250,323,751.95
  5. Step 5: Solve for x
    x = 250,323,751.95/17,762.88
  6. Step 6: Final answer
    x = 14,092.52

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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.