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Finding the Fourth Proportional to 17,532, 24,190.47 and 11,867.67

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Solution

The fourth proportional to 17,532, 24,190.47 and 11,867.67 is: 16,374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,532 : 24,190.47 = 11,867.67 : x
  2. Step 2: Convert to fraction form
    17,532/24,190.47 = 11,867.67/x
  3. Step 3: Cross multiply
    17,532x = 24,190.47 × 11,867.67
  4. Step 4: Simplify right side
    17,532x = 287,084,515.10
  5. Step 5: Solve for x
    x = 287,084,515.10/17,532
  6. Step 6: Final answer
    x = 16,374.89

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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.