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Finding the Fourth Proportional to 17,821.80, 24,597 and 10,651.86

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Solution

The fourth proportional to 17,821.80, 24,597 and 10,651.86 is: 14,701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.80 : 24,597 = 10,651.86 : x
  2. Step 2: Convert to fraction form
    17,821.80/24,597 = 10,651.86/x
  3. Step 3: Cross multiply
    17,821.80x = 24,597 × 10,651.86
  4. Step 4: Simplify right side
    17,821.80x = 262,003,800.42
  5. Step 5: Solve for x
    x = 262,003,800.42/17,821.80
  6. Step 6: Final answer
    x = 14,701.31

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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.