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Finding the Fourth Proportional to 17,822.30, 24,600.93 and 10,271.64

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Solution

The fourth proportional to 17,822.30, 24,600.93 and 10,271.64 is: 14,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.30 : 24,600.93 = 10,271.64 : x
  2. Step 2: Convert to fraction form
    17,822.30/24,600.93 = 10,271.64/x
  3. Step 3: Cross multiply
    17,822.30x = 24,600.93 × 10,271.64
  4. Step 4: Simplify right side
    17,822.30x = 252,691,950.36
  5. Step 5: Solve for x
    x = 252,691,950.36/17,822.30
  6. Step 6: Final answer
    x = 14,178.41

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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.