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Finding the Fourth Proportional to 16,175.57, 24,255.10 and 7,402.97

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Solution

The fourth proportional to 16,175.57, 24,255.10 and 7,402.97 is: 11,100.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.57 : 24,255.10 = 7,402.97 : x
  2. Step 2: Convert to fraction form
    16,175.57/24,255.10 = 7,402.97/x
  3. Step 3: Cross multiply
    16,175.57x = 24,255.10 × 7,402.97
  4. Step 4: Simplify right side
    16,175.57x = 179,559,619.36
  5. Step 5: Solve for x
    x = 179,559,619.36/16,175.57
  6. Step 6: Final answer
    x = 11,100.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.