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Finding the Fourth Proportional to 17,733.94, 24,474.03 and 9,776.17

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Solution

The fourth proportional to 17,733.94, 24,474.03 and 9,776.17 is: 13,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.94 : 24,474.03 = 9,776.17 : x
  2. Step 2: Convert to fraction form
    17,733.94/24,474.03 = 9,776.17/x
  3. Step 3: Cross multiply
    17,733.94x = 24,474.03 × 9,776.17
  4. Step 4: Simplify right side
    17,733.94x = 239,262,277.87
  5. Step 5: Solve for x
    x = 239,262,277.87/17,733.94
  6. Step 6: Final answer
    x = 13,491.77

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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.