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Finding the Fourth Proportional to 17,494.56, 24,137.70 and 11,109.78

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Solution

The fourth proportional to 17,494.56, 24,137.70 and 11,109.78 is: 15,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,494.56 : 24,137.70 = 11,109.78 : x
  2. Step 2: Convert to fraction form
    17,494.56/24,137.70 = 11,109.78/x
  3. Step 3: Cross multiply
    17,494.56x = 24,137.70 × 11,109.78
  4. Step 4: Simplify right side
    17,494.56x = 268,164,536.71
  5. Step 5: Solve for x
    x = 268,164,536.71/17,494.56
  6. Step 6: Final answer
    x = 15,328.45

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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.