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Finding the Fourth Proportional to 16,185.76, 24,277.68 and 9,526

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Solution

The fourth proportional to 16,185.76, 24,277.68 and 9,526 is: 14,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,185.76 : 24,277.68 = 9,526 : x
  2. Step 2: Convert to fraction form
    16,185.76/24,277.68 = 9,526/x
  3. Step 3: Cross multiply
    16,185.76x = 24,277.68 × 9,526
  4. Step 4: Simplify right side
    16,185.76x = 231,269,179.68
  5. Step 5: Solve for x
    x = 231,269,179.68/16,185.76
  6. Step 6: Final answer
    x = 14,288.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.