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Finding the Fourth Proportional to 17,724.50, 24,457.76 and 10,168.76

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Solution

The fourth proportional to 17,724.50, 24,457.76 and 10,168.76 is: 14,031.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,724.50 : 24,457.76 = 10,168.76 : x
  2. Step 2: Convert to fraction form
    17,724.50/24,457.76 = 10,168.76/x
  3. Step 3: Cross multiply
    17,724.50x = 24,457.76 × 10,168.76
  4. Step 4: Simplify right side
    17,724.50x = 248,705,091.58
  5. Step 5: Solve for x
    x = 248,705,091.58/17,724.50
  6. Step 6: Final answer
    x = 14,031.71

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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.