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Finding the Fourth Proportional to 17,698.46, 24,415.70 and 11,412.86

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Solution

The fourth proportional to 17,698.46, 24,415.70 and 11,412.86 is: 15,744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698.46 : 24,415.70 = 11,412.86 : x
  2. Step 2: Convert to fraction form
    17,698.46/24,415.70 = 11,412.86/x
  3. Step 3: Cross multiply
    17,698.46x = 24,415.70 × 11,412.86
  4. Step 4: Simplify right side
    17,698.46x = 278,652,965.90
  5. Step 5: Solve for x
    x = 278,652,965.90/17,698.46
  6. Step 6: Final answer
    x = 15,744.48

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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.