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Finding the Fourth Proportional to 17,523.64, 24,182.60 and 11,236

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Solution

The fourth proportional to 17,523.64, 24,182.60 and 11,236 is: 15,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523.64 : 24,182.60 = 11,236 : x
  2. Step 2: Convert to fraction form
    17,523.64/24,182.60 = 11,236/x
  3. Step 3: Cross multiply
    17,523.64x = 24,182.60 × 11,236
  4. Step 4: Simplify right side
    17,523.64x = 271,715,693.60
  5. Step 5: Solve for x
    x = 271,715,693.60/17,523.64
  6. Step 6: Final answer
    x = 15,505.67

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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.