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Finding the Fourth Proportional to 17,471.12, 24,111.24 and 10,397.84

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Solution

The fourth proportional to 17,471.12, 24,111.24 and 10,397.84 is: 14,349.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,471.12 : 24,111.24 = 10,397.84 : x
  2. Step 2: Convert to fraction form
    17,471.12/24,111.24 = 10,397.84/x
  3. Step 3: Cross multiply
    17,471.12x = 24,111.24 × 10,397.84
  4. Step 4: Simplify right side
    17,471.12x = 250,704,815.72
  5. Step 5: Solve for x
    x = 250,704,815.72/17,471.12
  6. Step 6: Final answer
    x = 14,349.67

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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.