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Finding the Fourth Proportional to 16,172, 22,323.12 and 9,548

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Solution

The fourth proportional to 16,172, 22,323.12 and 9,548 is: 13,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172 : 22,323.12 = 9,548 : x
  2. Step 2: Convert to fraction form
    16,172/22,323.12 = 9,548/x
  3. Step 3: Cross multiply
    16,172x = 22,323.12 × 9,548
  4. Step 4: Simplify right side
    16,172x = 213,141,149.76
  5. Step 5: Solve for x
    x = 213,141,149.76/16,172
  6. Step 6: Final answer
    x = 13,179.64

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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.