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Finding the Fourth Proportional to 17,715.76, 24,447.29 and 10,166.49

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Solution

The fourth proportional to 17,715.76, 24,447.29 and 10,166.49 is: 14,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.76 : 24,447.29 = 10,166.49 : x
  2. Step 2: Convert to fraction form
    17,715.76/24,447.29 = 10,166.49/x
  3. Step 3: Cross multiply
    17,715.76x = 24,447.29 × 10,166.49
  4. Step 4: Simplify right side
    17,715.76x = 248,543,078.48
  5. Step 5: Solve for x
    x = 248,543,078.48/17,715.76
  6. Step 6: Final answer
    x = 14,029.49

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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.