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Finding the Fourth Proportional to 17,567, 24,212.94 and 13,316.70

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Solution

The fourth proportional to 17,567, 24,212.94 and 13,316.70 is: 18,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,567 : 24,212.94 = 13,316.70 : x
  2. Step 2: Convert to fraction form
    17,567/24,212.94 = 13,316.70/x
  3. Step 3: Cross multiply
    17,567x = 24,212.94 × 13,316.70
  4. Step 4: Simplify right side
    17,567x = 322,436,458.10
  5. Step 5: Solve for x
    x = 322,436,458.10/17,567
  6. Step 6: Final answer
    x = 18,354.67

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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.