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Finding the Fourth Proportional to 17,628.32, 24,323.28 and 10,172

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Solution

The fourth proportional to 17,628.32, 24,323.28 and 10,172 is: 14,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,628.32 : 24,323.28 = 10,172 : x
  2. Step 2: Convert to fraction form
    17,628.32/24,323.28 = 10,172/x
  3. Step 3: Cross multiply
    17,628.32x = 24,323.28 × 10,172
  4. Step 4: Simplify right side
    17,628.32x = 247,416,404.16
  5. Step 5: Solve for x
    x = 247,416,404.16/17,628.32
  6. Step 6: Final answer
    x = 14,035.17

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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.