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Finding the Fourth Proportional to 17,534.19, 24,198.92 and 10,460.61

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Solution

The fourth proportional to 17,534.19, 24,198.92 and 10,460.61 is: 14,436.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.19 : 24,198.92 = 10,460.61 : x
  2. Step 2: Convert to fraction form
    17,534.19/24,198.92 = 10,460.61/x
  3. Step 3: Cross multiply
    17,534.19x = 24,198.92 × 10,460.61
  4. Step 4: Simplify right side
    17,534.19x = 253,135,291.24
  5. Step 5: Solve for x
    x = 253,135,291.24/17,534.19
  6. Step 6: Final answer
    x = 14,436.67

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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.