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Finding the Fourth Proportional to 17,762.99, 24,513.72 and 10,211.77

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Solution

The fourth proportional to 17,762.99, 24,513.72 and 10,211.77 is: 14,092.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,762.99 : 24,513.72 = 10,211.77 : x
  2. Step 2: Convert to fraction form
    17,762.99/24,513.72 = 10,211.77/x
  3. Step 3: Cross multiply
    17,762.99x = 24,513.72 × 10,211.77
  4. Step 4: Simplify right side
    17,762.99x = 250,328,347.92
  5. Step 5: Solve for x
    x = 250,328,347.92/17,762.99
  6. Step 6: Final answer
    x = 14,092.69

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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.