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Finding the Fourth Proportional to 17,733.75, 24,477.29 and 10,472.21

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Solution

The fourth proportional to 17,733.75, 24,477.29 and 10,472.21 is: 14,454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.75 : 24,477.29 = 10,472.21 : x
  2. Step 2: Convert to fraction form
    17,733.75/24,477.29 = 10,472.21/x
  3. Step 3: Cross multiply
    17,733.75x = 24,477.29 × 10,472.21
  4. Step 4: Simplify right side
    17,733.75x = 256,331,146.36
  5. Step 5: Solve for x
    x = 256,331,146.36/17,733.75
  6. Step 6: Final answer
    x = 14,454.42

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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.